# How do you solve 3/2x -15 =-12?

Jul 12, 2016

$x = 2$

#### Explanation:

$\frac{3}{2} x - 15 \textcolor{red}{+ 15} = - 12 \textcolor{red}{+ 15}$

$\textcolor{b l u e}{2 \times} \frac{3}{2} x = \textcolor{b l u e}{2 \times} 3$

$\cancel{2} \frac{3}{\cancel{2}} x = \textcolor{b l u e}{2 \times} 3$

$3 x = 6$

$x = 2$

Or we can multiply the whole equation b 2 to get rid of the denominator.

$\textcolor{b l u e}{2 \times} \frac{3}{2} x - \textcolor{b l u e}{2 \times} 15 = \textcolor{b l u e}{2 \times} \left(- 12\right)$

$3 x - 30 = - 24$

$3 x = - 24 + 30$
$3 x = 6$
$x = 2$