I'm not talking level 1. I typed in the same thing with my other question but SOMEONE who's staff decided it would be funny to change it. Game: Pokemon X
According to Bulbapedia Leavanny is able to learn false swipe at level 1 in X but it can only be caught in Gen 6 through evolving Sewaddle/Swadloon in ORAS or using Pokemon Bank. Scyther and Scizor are both able to learn false swipe at level 13. Scyther can be caught on Route 21 in a horde encounter and should have the move when you catch it.
Hope this helps
Axew is a big recommendation since it learns false swipe at lv 6 and Haxorus is also really good :)