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

##### 1 Answer
Feb 12, 2017

$m = \frac{3}{5}$

#### Explanation:

Solve $- 4 \left(2 m - 3\right) = 2 \left(m + 3\right)$

Expand both sides using the distributive property, $a \left(b + c\right) = a b + a c$.

$- 8 m + 12 = 2 m + 6$

Subtract $12$ from both sides of the equation.

$- 8 m = 2 m + 6 - 12$

$- 8 m = 2 m - 6$

Subtract $2 m$ from both sides.

$- 2 m - 8 m = - 6$

$- 10 m = - 6$

Divide both sides by $- 10$.

$m = \frac{- 6}{- 10}$

A negative divided by a negative becomes a positive.

$m = \frac{6}{10}$

Simplify.

$m = \frac{3}{5}$