# How do you solve 7 s - 2/3 - 3s - 16/6 = 2?

Jul 26, 2016

$\textcolor{g r e e n}{s = \frac{4}{3}}$

#### Explanation:

Group variable terms on the left and constant terms on the right
$\textcolor{w h i t e}{\text{XXX}} 7 s - 3 s = 2 + \frac{2}{3} + \frac{{\cancel{16}}^{8}}{{\cancel{6}}_{3}}$

Simplify both sides:
$\textcolor{w h i t e}{\text{XXX}} 4 s = \frac{6}{3} + \frac{2}{3} + \frac{8}{3} = \frac{16}{3}$

Divide both sides by $4$ to reduce the left side to a unit variable
$\textcolor{w h i t e}{\text{XXX}} s = \frac{4}{3}$