# How do you solve 8= \frac { q } { 5} + ( - 3)?

Mar 13, 2018

$q = 55$

#### Explanation:

$8 = \frac{q}{5} + \left(- 3\right)$

To solve this, we need to isolate the pronumeral, in this case, it is $q$.

$8 = \frac{q}{5} - 3$

$8 \textcolor{red}{+ 3} = \frac{q}{5} \textcolor{red}{\cancel{\textcolor{b l a c k}{- 3} - 3}}$

$11 \textcolor{red}{\times 5} = \frac{q}{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}}} \times \textcolor{red}{\cancel{5}}$

$\textcolor{b l u e}{q = 55}$

To prove this, we can substitute the pronumeral for the given value.

$8 = \frac{55}{5} + \left(- 3\right)$

$8 = \frac{55}{5} - 3$

$8 = 11 - 3$