# How do you solve -14=2/5(9-2b)?

Aug 5, 2016

$b = 22$

#### Explanation:

While we could use the distributive property and multiply the $\frac{2}{5}$ into the bracket, this is not the best approach, because we will just have to divide by $\frac{2}{5}$ later.

Get rid of the $\frac{2}{5}$ from the right side completely. $\times \frac{5}{2}$

$- 14 \textcolor{red}{\times \frac{5}{2}} = \textcolor{red}{\frac{5}{2} \times} \frac{2}{5} \left(9 - 2 b\right)$

${\cancel{- 14}}^{- 7} \textcolor{red}{\times \frac{5}{\cancel{2}}} = \textcolor{red}{\frac{\cancel{5}}{\cancel{2}} \times} \frac{\cancel{2}}{\cancel{5}} \left(9 - 2 b\right)$

$- 35 = 9 - 2 b$

$2 b = 9 + 35$
$2 b = 44$
$b = 22$