I'm haveing trouble with this problem, I've tryed all of the methods/tricks I have learned to solve these kinds of problems, and none of them have worked.

Question

(-5)x=3x-22

Answer 1

-5x=3x-22

-8x = -22

8x = 22

x = 22/8 = 11/4 = 2 3/4

This is assuming that there are no typos in your equation.