Eve, comes from Adam, so Eve, in this sense is also Adam.
Sin came by Adam.
Adam/Eve was given a Command, and then was challenged if what God said was True. The Challenge, given by the Adversary, is a Sin, committed by the Adversary. Even at the Moment, Eve, Doubted God's Word was True, there has been No Sin committed by man. Even when Eve picked the fruit off the Tree Branch, No Sin has been committed yet. It was when Eve took a bite, Sin was Committed.
To Adam [God] said, “Because you did as your wife said and ate of the tree about which I commanded you, ‘You shall not eat of it,’