# How do you solve 3( 2x - 7) = - 13+ 43 ?

May 5, 2018

$x = \frac{17}{2}$ (fraction) or $8.5$ (decimal form)

#### Explanation:

$3 \left(2 x - 7\right) = - 13 + 43$

First, simplify the right side:
$3 \left(2 x - 7\right) = 30$

Divide both sides by $\textcolor{b l u e}{3}$:
$\frac{3 \left(2 x - 7\right)}{\textcolor{b l u e}{3}} = \frac{30}{\textcolor{b l u e}{3}}$

$2 x - 7 = 10$

Add $\textcolor{b l u e}{7}$ to both sides of the equation:
$2 x - 7 \quad \textcolor{b l u e}{+ \quad 7} = 10 \quad \textcolor{b l u e}{+ \quad 7}$

$2 x = 17$

Divide both sides by $\textcolor{b l u e}{2}$:
$\frac{2 x}{\textcolor{b l u e}{2}} = \frac{17}{\textcolor{b l u e}{2}}$

$x = \frac{17}{2}$ (fraction) or $8.5$ (decimal form)