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

Jan 26, 2018

$m = \frac{12}{5}$

#### Explanation:

Use distributive property. multiply the number in front of the parenthesis with each number inside the parenthesis.

$3 \cdot 3 m = 9 m$

$3 \cdot \left(- 2\right) = 6$

$2 \cdot 2 m = 4 m$

$2 \cdot 3 = 6$

The equation now is

$9 m - 6 = 4 m + 6$

The next step is to add $6$ on the left side and on the right side. This will get rid of the $- 6$ on the left side. Your new equation is

$9 m = 4 m + 12$

Then you are going to subtract $4 m$ from both sides. This will give you

$5 m = 12$

Divide both sides by $5$

$m = \frac{12}{5}$