Question

Solve
x+x/(x-2)=2/(x-2)

Answer 1

\[x+\frac{x}{x-2}=\frac{2}{x-2}\]?

Answer 2

multiply everything by x-2
(x-2)x+x=2
x^2-2x+x=2
x^2-x=2
x^2-x-2=0
x^2+x-2x-2
x(x+1)-2(x+1)=0
(x+1)(x-2)=0
x=-1 or x=2

Answer 3

but x cant be 2

Answer 4

so x = -1

Answer 5

Dam your a life saver