# How do you solve 7= \frac { 5} { x + 4}?

Jun 21, 2017

$x = - \frac{23}{7}$

#### Explanation:

1. Multiply both sides by $\left(x + 4\right)$.

$7 = \frac{5}{x + 4}$

$\left(x + 4\right) \left(7\right) = \left(\frac{5}{\cancel{x + 4}}\right) \cdot \cancel{\left(x + 4\right)}$

$\left(x + 4\right) \left(7\right) = 5$

2. Distribute the 7.

$7 x + 28 = 5$

3. Subtract 28 from both sides.

$7 x + 28 - \textcolor{b l u e}{28} = 5 - \textcolor{b l u e}{28}$
$7 x = - 23$

4. Divide both sides by 7.

$\frac{7 x}{7} = \frac{- 23}{7}$

$x = - \frac{23}{7}$