# How do you solve -5b + 2b = - 24?

Jan 8, 2018

$\textcolor{red}{b = 8}$

#### Explanation:

1) Collecting like terms, treat it as numbers if that is easier:

$\textcolor{g r e e n}{- 5 + 2 = - 3}$

$\therefore$ $\textcolor{g r e e n}{- 3 b = - 24}$

2) Then you can solve like an equation:

$\textcolor{red}{b = - \frac{24}{-} 3}$

Since $\textcolor{b l u e}{- 1 \cdot - 1 = + 1}$

This changes the equation to:

$\textcolor{red}{b = \frac{24}{3} = 8}$