# How do you solve 9p-5.2/4=9.95?

Feb 27, 2017

See the entire solution process below:

#### Explanation:

First, divide $5.2$ by $4$:

$9 p - 1.3 = 9.95$

Next, add $\textcolor{red}{1.3}$ to each side of the equation to isolate the $p$ term while keeping the equation balanced:

$9 p - 1.3 + \textcolor{red}{1.3} = 9.95 + \textcolor{red}{1.3}$

$9 p - 0 = 8.65$

$9 p = 8.65$

Now, divide each side of the equation by $\textcolor{red}{9}$ to solve for $p$ while keeping the equation balanced:

$\frac{9 p}{\textcolor{red}{9}} = \frac{8.65}{\textcolor{red}{9}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}} p}{\cancel{\textcolor{red}{9}}} = 0.96 \overline{1}$

$p = 0.96 \overline{1}$