# How do you solve 14 + 5n = -4n + 17 ?

Jun 30, 2016

$n = \textcolor{b l u e}{\frac{1}{3}}$

#### Explanation:

Given:
$\textcolor{w h i t e}{\text{XXX}} 14 + 5 n = - 4 n + 17$

Add $4 n$ to both sides
$\textcolor{w h i t e}{\text{XXX}} 14 + 9 n = 17$

Subtract $14$ from both sides
$\textcolor{w h i t e}{\text{XXX}} 9 n = 3$

Divide both sides by $9$
$\textcolor{w h i t e}{\text{XXX}} n = \frac{1}{3}$