# How do you solve 6(x+4)=3x-2?

Jul 27, 2018

$x = - 8 \frac{2}{3}$

#### Explanation:

$6 \left(x + 4\right) = 3 x - 2$

Use the distributive property to simplify the left side:
$6 x + 24 = 3 x - 2$

Subtract $\textcolor{b l u e}{3 x}$ from both sides:
$6 x \quad \textcolor{b l u e}{- \quad 3 x} + 24 = 3 x \quad \textcolor{b l u e}{- \quad 3 x} - 2$

$3 x + 24 = - 2$

Subtract $\textcolor{b l u e}{24}$ from both sides:
$3 x + 24 \quad \textcolor{b l u e}{- \quad 24} = - 2 \quad \textcolor{b l u e}{- 24}$

$3 x = - 26$

$x = - 8 \frac{2}{3}$

Hope this helps!