Multiply both sides by 2*(x-2)*(x+6) this will get rid of all the fractions
You get 2(x+6) + 6(x-2) = x^2 +6x -2x -12
2x+12+6x-12 = x^2 + 4x - 12
8x = x^2 +4x - 12
4x = x^2 -12
0 = x^2 - 4x -12
0 = (x+2)*(x-6)
x=-2 or x=6
If you need me to explain some of these steps in more detail just ask.
+118608 
