# How do you solve 5( a - 7) = 30?

Apr 24, 2017

$a = 13$

#### Explanation:

Order of operations.
Multiplication first. $\textcolor{red}{5 \left(a - 7\right)}$

$5 \left(a - 7\right) = 30$

$5 a - 35 = 30$

Move $- 35$ to the other site of the equals sign so we can have $5 a$ alone

$5 a = 30 + 35$

$5 a = 65$

Now divide both sides by $5$ to find the value of $a$

$\frac{\cancel{5} a}{\cancel{5}} = \frac{65}{5}$

$a = 13$

Since $a = 13$,
$5 \left(a - 7\right) = 30$
$5 \left(\left(13\right) - 7\right) = 30$
$5 \left(6\right) = 30$
$30 = 30$