x-2/x+1 = x - 2/ 2x + 3

(x-2/x+1)*2x+3=(x-2/2x+3)*x+1
(2x+3)(x-2)=(x-2)(x+1)
2x^2-4x+3x-6=x^2+x-2x-2
2x^2-x^2-4x+3x-x+2x-6+2=0
x^2-4=0
x^2=4
x1=2;x2=-2