# How do you solve -2 ( 2 x - 6 ) = 4 x?

Mar 23, 2018

$x = \frac{3}{2}$

#### Explanation:

$\text{distribute the parenthesis on the left side}$

$- 4 x + 12 = 4 x$

$\text{add 4x to both sides}$

$\cancel{- 4 x} \cancel{+ 4 x} + 12 = 4 x + 4 x$

$\Rightarrow 8 x = 12 \leftarrow \text{ reversing equation}$

$\text{divide both sides by 8}$

$\frac{\cancel{8} x}{\cancel{8}} = \frac{12}{8}$

$\Rightarrow x = \frac{12}{8} = \frac{3}{2}$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the equation and if both sides are equal then it is the solution.

$\text{left } = - 2 \left(3 - 6\right) = - 2 \times - 3 = 6$

$\text{right } = 4 \times \frac{3}{2} = 6$

$\Rightarrow x = \frac{3}{2} \text{ is the solution}$