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.

Common sense? In Maths notation? Where?

f^-1 is the inverse function of f lol lol see it's -1 lol irony
...but sin^-1 is csc, gotcha!

sin is a function
...but since we like it a lot we omit parenthesis lol lol sin x

We're to lazy to write a dot for multiplication; can you imagine how tiring could that be?
...so when you say asinx you mean a · sin(x)... or was it arcsin(x)? Oh, wait, I think it means a·s·i·n·x... oh shi-