# How do you solve -6( 4- x ) = 12x?

May 25, 2018

$x = - 6$

#### Explanation:

$- 6 \left(4 - x\right) = 12 x$

First, we want to simplify $- 6 \left(4 - x\right)$ using the distributive property:

Following this image, we know it becomes:
$\textcolor{b l u e}{- 6 \left(4 - x\right) = \left(- 6 \cdot 4\right) + \left(- 6 \cdot - x\right) = - 24 + 6 x}$

Let's put that back into the equation:
$- 24 + 6 x = 12 x$

Now subtract $\textcolor{b l u e}{6 x}$ from both sides of the equation:
$- 24 + 6 x \quad \textcolor{b l u e}{- \quad 6 x} = 12 x \quad \textcolor{b l u e}{- \quad 6 x}$

$- 24 = 6 x$

Now divide both sides by $\textcolor{b l u e}{6}$:
$- \frac{24}{\textcolor{b l u e}{6}} = \frac{6 x}{\textcolor{b l u e}{6}}$

$- 6 = x$

Therefore,
$x = - 6$

Hope this helps!