Question

$| \frac{x+2}{x-2}| = 5$

Answer 1

$\frac{x+2}{x-2}=5 \ \ \ \ ou \ \ \ \ \frac{x+2}{x-2}=-5\\ \\ 5(x-2)=x+2\\ 5x-10=x+2\\ 4x=12\\ \boxed{x=3}\\ \\ ou\\ \\ -5(x-2)=x+2\\ -5x+10=x+2\\ -6x=-8\\ \boxed{x=\frac{4}{3}}$