diff --git a/config/sets/phpunit-code-quality.php b/config/sets/phpunit-code-quality.php
index 9ac2ba9f..9d9dec95 100644
--- a/config/sets/phpunit-code-quality.php
+++ b/config/sets/phpunit-code-quality.php
@@ -31,7 +31,7 @@
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\AssertSameTrueFalseToAssertTrueFalseRector;
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\AssertTrueFalseToSpecificMethodRector;
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\FlipAssertRector;
-use Rector\PHPUnit\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector;
+use Rector\PHPUnit\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector;
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\NarrowIdenticalWithConsecutiveRector;
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\NarrowSingleWillReturnCallbackRector;
 use Rector\PHPUnit\CodeQuality\Rector\MethodCall\RemoveExpectAnyFromMockRector;
@@ -46,7 +46,7 @@
         ConstructClassMethodToSetUpTestCaseRector::class,
 
         AssertSameTrueFalseToAssertTrueFalseRector::class,
-        MatchAssertSameExpectedTypeRector::class,
+        MatchAssertEqualsExpectedTypeRector::class,
 
         AssertEqualsToSameRector::class,
         PreferPHPUnitThisCallRector::class,
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_assert_type.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_assert_type.php.inc
similarity index 73%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_assert_type.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_assert_type.php.inc
index 1c537c53..0ad61056 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_assert_type.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_assert_type.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -8,7 +8,7 @@ final class MatchAssertType extends TestCase
 {
     public function test()
     {
-        $this->assertSame('123', $this->getOrderId());
+        $this->assertEquals('123', $this->getOrderId());
     }
 
     private function getOrderId(): int
@@ -21,7 +21,7 @@ final class MatchAssertType extends TestCase
 -----
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -29,7 +29,7 @@ final class MatchAssertType extends TestCase
 {
     public function test()
     {
-        $this->assertSame(123, $this->getOrderId());
+        $this->assertEquals(123, $this->getOrderId());
     }
 
     private function getOrderId(): int
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_integer_to_string.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_integer_to_string.php.inc
similarity index 74%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_integer_to_string.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_integer_to_string.php.inc
index 4f0d419e..7ffa0666 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/match_integer_to_string.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/match_integer_to_string.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -8,7 +8,7 @@ final class MatchIntegerToString extends TestCase
 {
     public function test()
     {
-        $this->assertSame(123, $this->getOrderId());
+        $this->assertEquals(123, $this->getOrderId());
     }
 
     private function getOrderId(): string
@@ -21,7 +21,7 @@ final class MatchIntegerToString extends TestCase
 -----
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -29,7 +29,7 @@ final class MatchIntegerToString extends TestCase
 {
     public function test()
     {
-        $this->assertSame('123', $this->getOrderId());
+        $this->assertEquals('123', $this->getOrderId());
     }
 
     private function getOrderId(): string
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc
similarity index 74%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc
index db905973..3a4718d1 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/nullable_match_assert_type.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -8,7 +8,7 @@ final class NullableMatchAssertType extends TestCase
 {
     public function test()
     {
-        $this->assertSame('123', $this->getOrderId());
+        $this->assertEquals('123', $this->getOrderId());
     }
 
     private function getOrderId(): ?int
@@ -21,7 +21,7 @@ final class NullableMatchAssertType extends TestCase
 -----
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
@@ -29,7 +29,7 @@ final class NullableMatchAssertType extends TestCase
 {
     public function test()
     {
-        $this->assertSame(123, $this->getOrderId());
+        $this->assertEquals(123, $this->getOrderId());
     }
 
     private function getOrderId(): ?int
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_argument_less.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_argument_less.php.inc
similarity index 84%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_argument_less.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_argument_less.php.inc
index 1bbaceb1..a468892d 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_argument_less.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_argument_less.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_docblock_type.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_docblock_type.php.inc
similarity index 89%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_docblock_type.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_docblock_type.php.inc
index a567ba36..24b7a7eb 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_docblock_type.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_docblock_type.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_first_class_callable.php.inc b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_first_class_callable.php.inc
similarity index 84%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_first_class_callable.php.inc
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_first_class_callable.php.inc
index 879c370f..e623f13e 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/Fixture/skip_first_class_callable.php.inc
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/Fixture/skip_first_class_callable.php.inc
@@ -1,6 +1,6 @@
 <?php
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\Fixture;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\Fixture;
 
 use PHPUnit\Framework\TestCase;
 
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/MatchAssertSameExpectedTypeRectorTest.php b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/MatchAssertEqualsExpectedTypeRectorTest.php
similarity index 83%
rename from rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/MatchAssertSameExpectedTypeRectorTest.php
rename to rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/MatchAssertEqualsExpectedTypeRectorTest.php
index fdd13a92..6ab2c505 100644
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/MatchAssertSameExpectedTypeRectorTest.php
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/MatchAssertEqualsExpectedTypeRectorTest.php
@@ -2,13 +2,13 @@
 
 declare(strict_types=1);
 
-namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector;
+namespace Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector;
 
 use Iterator;
 use PHPUnit\Framework\Attributes\DataProvider;
 use Rector\Testing\PHPUnit\AbstractRectorTestCase;
 
-final class MatchAssertSameExpectedTypeRectorTest extends AbstractRectorTestCase
+final class MatchAssertEqualsExpectedTypeRectorTest extends AbstractRectorTestCase
 {
     #[DataProvider('provideData')]
     public function test(string $filePath): void
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/config/configured_rule.php b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/config/configured_rule.php
new file mode 100644
index 00000000..fa18b840
--- /dev/null
+++ b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector/config/configured_rule.php
@@ -0,0 +1,10 @@
+<?php
+
+declare(strict_types=1);
+
+use Rector\Config\RectorConfig;
+use Rector\PHPUnit\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector;
+
+return static function (RectorConfig $rectorConfig): void {
+    $rectorConfig->rule(MatchAssertEqualsExpectedTypeRector::class);
+};
diff --git a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/config/configured_rule.php b/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/config/configured_rule.php
deleted file mode 100644
index bc288d66..00000000
--- a/rules-tests/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector/config/configured_rule.php
+++ /dev/null
@@ -1,10 +0,0 @@
-<?php
-
-declare(strict_types=1);
-
-use Rector\Config\RectorConfig;
-use Rector\PHPUnit\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector;
-
-return static function (RectorConfig $rectorConfig): void {
-    $rectorConfig->rule(MatchAssertSameExpectedTypeRector::class);
-};
diff --git a/rules/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector.php b/rules/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector.php
similarity index 88%
rename from rules/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector.php
rename to rules/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector.php
index 575ce818..2807ee3f 100644
--- a/rules/CodeQuality/Rector/MethodCall/MatchAssertSameExpectedTypeRector.php
+++ b/rules/CodeQuality/Rector/MethodCall/MatchAssertEqualsExpectedTypeRector.php
@@ -16,9 +16,9 @@
 use Symplify\RuleDocGenerator\ValueObject\RuleDefinition;
 
 /**
- * @see \Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertSameExpectedTypeRector\MatchAssertSameExpectedTypeRectorTest
+ * @see \Rector\PHPUnit\Tests\CodeQuality\Rector\MethodCall\MatchAssertEqualsExpectedTypeRector\MatchAssertEqualsExpectedTypeRectorTest
  */
-final class MatchAssertSameExpectedTypeRector extends AbstractRector
+final class MatchAssertEqualsExpectedTypeRector extends AbstractRector
 {
     public function __construct(
         private readonly TestsNodeAnalyzer $testsNodeAnalyzer
@@ -28,7 +28,7 @@ public function __construct(
     public function getRuleDefinition(): RuleDefinition
     {
         return new RuleDefinition(
-            'Correct expected type in assertSame() method to match strict type of passed variable',
+            'Correct expected type in assertEquals() method to match strict type of passed variable',
             [
                 new CodeSample(
                     <<<'CODE_SAMPLE'
@@ -38,7 +38,7 @@ class SomeTest extends TestCase
 {
     public function run()
     {
-        $this->assertSame('123', $this->getOrderId());
+        $this->assertEquals('123', $this->getOrderId());
     }
 
     private function getOrderId(): int
@@ -55,7 +55,7 @@ class SomeTest extends TestCase
 {
     public function run()
     {
-        $this->assertSame(123, $this->getOrderId());
+        $this->assertEquals(123, $this->getOrderId());
     }
 
     private function getOrderId(): int
@@ -82,7 +82,7 @@ public function getNodeTypes(): array
      */
     public function refactor(Node $node): ?Node
     {
-        if (! $this->testsNodeAnalyzer->isPHPUnitMethodCallNames($node, ['assertSame', 'assertEquals'])) {
+        if (! $this->testsNodeAnalyzer->isPHPUnitMethodCallNames($node, ['assertEquals'])) {
             return null;
         }