(2x^2-8x+16)/(x^2-4x+4)=2x/(x-2)
2(x^2-4x+8)/(x-2)^2=2x/(x-2)
(x^2-4x+8)/(x-2)=x
x^2-4x+8=x^2-2x
2x-8=0
x=4