Solving Rational Expressions - RQD HALP

Hay /sci/.

I've been trying to do this question for well over 2 hours. My friends have tried to help me, but I rejected them, believing I could do it myself. I do realize that the majority of users here are of a college/university math level...so I hope you can understand that we were all once fucking confused and help me out here.

Solve.

x+2 / x-1 + x-4 / x+2 =  x+1/x-1 + 1/2

I have the answer, but I don't know how to solve it. Thanks.

>>19
This is not a case of intelligent design, the notation has evolved over thousands of years. There's bound to be some weirdness to it.

Still, consciously introducing ambiguity cannot be justified.