# How do you solve 4=(5z+2)/3?

Jul 17, 2016

color(green)(z = 2")

#### Explanation:

$\textcolor{\in \mathrm{di} g o}{\text{Multiply 3 on both sides to get rid of the denominator:}}$

$4 \times 3 = \frac{5 z + 2}{\cancel{3}}$$\times \cancel{3}$

$\textcolor{h o t \pi n k}{\text{Subtract 2 on both sides to get the constant by itself:}}$

$12 = 5 z + 2$
$- 2 \textcolor{w h i t e}{a a a a} - 2$

$10 = 5 z$

$\textcolor{g r e e n}{\text{Divide both sides by 5 to find z:}}$
$\frac{10}{5} = \frac{\cancel{5} z}{\cancel{5}}$

$2 = z$