Question 311634
x/x-2 =1/2- x+2/x
x/x-2 +x+2 / x =1/2
LCM x(x-2)
x^2+x^2-4 /x(x-2)=1/2
2x^2+2x^2-8 =x^2-2x
3x^2+2x-8=0
3x^2 +6x-4x-8=0
3x(x+2)-4(x+2)=0
(3x-4)(x+2)=0

x=4/3 OR -2

I am not too sure I have copied the problem right