# How do you solve 7w-5=36?

##### 1 Answer
Dec 26, 2016

$w = \frac{41}{7}$

#### Explanation:

Step 1) Add $\textcolor{red}{5}$ to each side of the equation to isolate the $w$ term and keep the equation balanced:

$7 w - 5 + \textcolor{red}{5} = 36 + \textcolor{red}{5}$

$7 w - 0 = 41$

$7 w = 41$

Step 2) Now we can divide each side of the equation by $\textcolor{b l u e}{7}$ to solve for $w$ while keeping the equation balanced:

$\frac{7 w}{\textcolor{b l u e}{7}} = \frac{41}{\textcolor{b l u e}{7}}$

$\frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{7}}} w}{\cancel{\textcolor{b l u e}{7}}} = \frac{41}{\textcolor{b l u e}{7}}$

$w = \frac{41}{7}$