# How do you solve 8/x = 12/(x + 2) ?

$x = 4$
Multiply both sides of the equation by $x \cdot \left(x + 2\right)$, yielding $8 \cdot \left(x + 2\right) = 12 x$. Expanding, one gets $8 x + 16 = 12 x$. Subtracting 8x from both sides of the equation, one gets $16 = 4 x$. So, $x = 4$.