2(5-3x)<x-4(3-x)

10 - 6x < x - 12 + 4x

10 - 6x < 5x - 12

Add 12 and 6x to both sides.

22 < 11x

2 < x

Treat inequality just like an equation, except if you multiply by a negative number, which means you have to reverse the inequality sign.