# How do you solve frac { z + 6} { 3} = \frac { 2z} { 4}?

Nov 22, 2017

$z = 12$

#### Explanation:

$\frac{z + 6}{3} = \frac{2 z}{4}$

Multiply throughout by $12 \left(3 \cdot 4\right)$

$4 \left(z + 6\right) = 3 \cdot 2 z$

simplify
$4 z + 24 = 6 z$

Subtract $4 z$ from each side
$24 = 2 z$

Divide both sides by $2$
$z = 12$