Question

Solve the equation (x over x+2) - (4 over x-2) = 1

Answer 1

`(x)/(x+2) - (4)/(x-2)=1\\or, (x(x-2))/((x+2)(x-2)) -(4(x+2))/((x+2)(x-2))=1\\or, (x^2-2x)/(x^2-4) -((4x+8))/(x^2-4) =1\\or, (x^2-2x-(4x+8))/(x^2-4) =1\\or, (x^2-2x-4x-8)/(x^2-4)=1\\or, {x^2-6x-8} =x^2-4\\or, -6x-8=-4\\or, 3x+4=2\\or, 3x = -2\\or, x =(-2)/(3)`