Question

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

Answer 1

Let's solve your equation step-by-step.

$x+\frac{1}{x} -1-x-\frac{2}{x} +2=3$

$\frac{x-1}{x} =3$

Step 1: Multiply both sides by x.

$x-1=3x$

(Subtract 3x from both sides)

$x-1-3x=3x-3x$

$-2x-1=0$

(Add 1 to both sides)

$-2x-1+1=0+1$

$-2x=1$

(Divide both sides by -2)

$\frac{-2x}{-2} = \frac{1}{-2}$

$x=\frac{-1}{2}$

∴ $x=\frac{-1}{2}$ in the following equation.