# How do you solve  4(b + 6) = 2(b + 5) + 2?

May 4, 2018

$b = - 6$

#### Explanation:

You distribute the $4$ to the binomial of $\left(b + 6\right)$ and the $2$ to the binomial of $\left(b + 2\right)$

$4 \left(b + 6\right) = 2 \left(b + 5\right) + 2$

$4 b + 24 = 2 b + 10 + 2$
Combine any like terms

$4 b + 24 = 2 b + 12$
Subtract $12$ from both sides.

$4 b + 12 = 2 b$
Subtract $4 b$ from both side

$12 = - 2 b$
Divide both sides by $- 2$

$- 6 = b$

Check:

$4 \left(- 6 + 6\right) = 2 \left(- 6 + 5\right) + 2$
$4 \left(0\right) = 2 \left(- 1\right) + 2$
$0 = - 2 + 2$
$0 = 0$