# How do you solve 3(p+2)-7p=18?

Feb 8, 2017

See the entire solution process below:

#### Explanation:

First, expand the terms in parenthesis on the left side of the equation:

$\left(3 \times p\right) + \left(3 \times 2\right) - 7 p = 18$

$3 p + 6 - 7 p = 18$

Next, group and combine like terms on the left side of the equation:

$3 p - 7 p + 6 = 18$

$\left(3 - 7\right) p + 6 = 18$

$- 4 p + 6 = 18$

Then, subtract $\textcolor{red}{6}$ from each side of the equation to isolate the $p$ term while keeping the equation balanced:

$- 4 p + 6 - \textcolor{red}{6} = 18 - \textcolor{red}{6}$

$- 4 p + 0 = 12$

$- 4 p = 12$

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

$\frac{- 4 p}{\textcolor{red}{- 4}} = \frac{12}{\textcolor{red}{- 4}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 4}}} p}{\cancel{\textcolor{red}{- 4}}} = - 3$

$p = - 3$