Romans 5:19 shows the New Testament consistently assigns Adam primary responsibility for the fall, even though Eve ate first.

Romans 5:19 says 'as by the one man's disobedience the many were made sinners, so by the one man's obedience the many will be made righteous' -- Adam (first man) and Jesus (second man). The NT consistently treats Adam as bearing primary responsibility for the fall despite Eve eating first. If they were truly equal, the one who sinned first would bear more responsibility or they'd share equally.