(x+1)/(x-1)-(3x-3)/(x+1)=2
(x+1)^2-(3x-3)(x-1)=2(x+1)(x-1)
x^2+2x+1-3x^2+6x-3=2x^2-2
4x^2-8x=0
4x(x-2)=0
4x=0
x=0
x-2=0
x=2