# How do you solve 4s - 7= 8s?

Sep 29, 2017

See a solution process below:

#### Explanation:

First, subtract $\textcolor{red}{4 s}$ from each side of the equation to isolate the $s$ term while keeping the equation balanced:

$- \textcolor{red}{4 s} + 4 s - 7 = - \textcolor{red}{4 s} + 8 s$

$0 - 7 = \left(- \textcolor{red}{4} + 8\right) s$

$- 7 = 4 s$

Now, divide each side of the equation by $\textcolor{red}{4}$ to solve for $s$ while keeping the equation balanced:

$- \frac{7}{\textcolor{red}{4}} = \frac{4 s}{\textcolor{red}{4}}$

$- \frac{7}{4} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} s}{\cancel{\textcolor{red}{4}}}$

$- \frac{7}{4} = s$

$s = - \frac{7}{4}$