# How do you solve r-2s=14 for S?

Apr 18, 2017

See the entire solution process below:

#### Explanation:

First, add $\textcolor{red}{2 s}$ and subtract $\textcolor{b l u e}{14}$ from each side of the equation to isolate the $s$ term in a positive form while keeping the equation balanced:

$r - 2 s + \textcolor{red}{2 s} - \textcolor{b l u e}{14} = 14 + \textcolor{red}{2 s} - \textcolor{b l u e}{14}$

$r - \textcolor{b l u e}{14} - 2 s + \textcolor{red}{2 s} = 14 - \textcolor{b l u e}{14} + \textcolor{red}{2 s}$

$r - \textcolor{b l u e}{14} - 0 = 0 + \textcolor{red}{2 s}$

$r - 14 = 2 s$

Now, divide each side of the equation by $\textcolor{red}{2}$ to solve for $s$ while keeping the equation balanced:

$\frac{r - 14}{\textcolor{red}{2}} = \frac{2 s}{\textcolor{red}{2}}$

$\frac{r - 14}{2} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} s}{\cancel{\textcolor{red}{2}}}$

$\frac{r - 14}{2} = s$

$s = \frac{r - 14}{2}$

Or

$s = \frac{r}{2} - \frac{14}{2}$

$s = \frac{r}{2} - 7$