Judaism has two versions which have developed into a folkloric resolution of conflict.

The first version is what you know, but the second, which is actually canon to the Islamic version of Genesis, is that Adam and Eve were created simultaneously and co-equally.

More mystical sects of Judaism resolved the difference less by just picking one and more by saying that the woman who was made co-equal with Adam was a different woman named Lilith, and Eve was made from his rib.

Lilith is… complicated, depending on who’s talking she’s often considered a mythical mother of monsters because feminism and gender equality bad.