Question 1007556
x/(x-1) + 4/x = (x+2)/x


Multiply both sides by x(x-1).


x^2 + 4(x-1) = (x+2)(x-1)
x^2 + 4x - 4 = x^2 + x - 2
4x - 4 = x - 2
3x = 2


x = 2/3