# How do you solve 3(2x-4)=3-2x?

Mar 14, 2016

$x = \textcolor{b l u e}{\frac{15}{8}}$

#### Explanation:

$3 \left(2 x - 4\right) = 3 - 2 x$

Distribute the $3$ on the left side.

$6 x - 12 = 3 - 2 x$

Add $12$ to both sides of the equation.

$6 x = 3 - 2 x + 12$

Simplify.

$6 x = - 2 x + 15$

Add $2 x$ to both sides.

$6 x + 2 x = 15$

Simplify.

$8 x = 15$

Divide both sides by $8$.

$x = \frac{15}{8}$