Answer
x=1
Work Step by Step
Original Equation
$\frac{1}{x-2}$ - $\frac{2}{x^{2}-2x}$ = 1
Multiply equation by the LCD, x(x-2) to get rid of denominators
x-2 = x(x-2)
Simplify
$x^{2}$-3x+2 = 0
Factor
(x-1)(x-2) = 0
x=1, x=2
However, x=2 would make the denominator equal 0 so the solution is x=1.
