# How do you solve 8x = 4( 6x + 20)?

Jul 6, 2017

$x = - 5$

#### Explanation:

1. Distribute the 4 to everything inside the parentheses.

$8 x = 4 \left(6 x + 20\right)$
$8 x = 24 x + 80$

2. Subtract 24x from both sides to get the variable on one side only.

$8 x - 24 x = \cancel{\textcolor{red}{24 x}} + 80 \cancel{\textcolor{red}{- 24 x}}$

$- 16 x = 80$

3. Divide both sides by -16 to isolate x.

$\frac{- 16 x}{- 16} = \frac{80}{- 16}$

$x = - 5$