# How do you solve -1/(-h-4)=2/(h-4)?

Jan 18, 2017

$h \in \left\{- 12\right\}$

#### Explanation:

The opposite sign goes to the denominator.

$\frac{1}{h + 4} = \frac{2}{h - 4}$

The product on the middle is equal to the product on the extremes.

$2 \left(h + 4\right) = 1 \left(h - 4\right)$

Let's distribute.

$2 h + 8 = h - 4$

$2 h - h = - 4 - 8$

$h = - 12$

Verify.

$\frac{1}{- 12 + 4} = \frac{2}{- 12 - 4}$