# How do you solve 6( m - 2) + 14= 3( m + 2) - 10?

Apr 8, 2018

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

#### Explanation:

Expand the brackets on both sides:

$6 m - 12 + 14 = 3 m + 6 - 10$

Take away the $3 m$ from the right side of the equation:

$3 m - 12 + 14 = + 6 - 10$

$3 m + 2 = + 4$

Take away the $+ 2$:

$3 m = 2$

Divide both sides by $3$:

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

So:

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

Apr 8, 2018

m=2/3

#### Explanation:

So we just multiply the number before the bracket with all the numbers in the bracket. Simple algebra.

$6 \left(m - 2\right) + 14 = 3 \left(m + 2\right) - 10$
$6 m - 12 + 14 = 3 m + 6 - 10$
$3 m - 12 + 14 = 6 - 10$
$3 m = - 6 + 10 + 12 - 14$
$3 m = 22 - 20 = 3 m = 2$
$\frac{3 m}{3} = \frac{2}{3}$
$m = \frac{2}{3}$