Question

If $\frac{x+2}{x-2}=\frac{2}{3}$, find $x$.

Answer 1

Given, $\frac{x+2}{x-2}=\frac{2}{3}$

$⟹$ $3(x+2)=2(x-2)$ …[Cross-multiplying the denominators]

$⟹$ $3x+6=2x-4$ ...[By Distribution Law]

$⟹$ $3x-2x=-6-4$ ...[Transposing $x$ terms to one side]

$⟹$ $x=-10$.