# How do you solve 8-4(m + 5) = 3(m-9)?

Mar 29, 2018

$m = 2.14$

#### Explanation:

Begin by using the distributive property to simplify. Here is a helpful image if you need a refresher on the distributive property:

$8 - 4 \left(m + 5\right) = 3 \left(m - 9\right)$

$8 - 4 m - 20 = 3 m - 27$

Now add like terms and solve:
$8 - 4 m - 20 = 3 m - 27$

$- 12 - 4 m = 3 m - 27$

$- 4 m = 3 m - 15$

$- 7 m = - 15$

$- m = - 2.14$

Multiply both sides by $- 1$ to change it to a positive answer:
$m = 2.14$

Mar 29, 2018

$\frac{15}{7}$

#### Explanation:

$8 - 4 m - 20 = 3 m - 27$

$- 4 m - 12 = 3 m - 27$

$- 4 m - 3 m = - 27 + 12$

$- 7 m = - 15$

$m = \frac{15}{7}$