Solve for x:

X-1/x = 3x/x-2

I will assume you meant:

(x-1)/x = 3x/(x-2)
cross-multiply
3x^2 = x^2 - 3x +2
2x^2 - 3x - 2 = 0
(x-2)(2x+1) = 0
x = 2 or x = -1/2