# How do you solve 3/2(x-5)=-6?

Dec 28, 2016

$x = 1$

#### Explanation:

$\frac{3}{2} \left(x - 5\right) = - 6$

reciprocal of $\frac{3}{2} = \frac{1}{\frac{3}{2}} = \frac{2}{3}$

multiply both sides by $\frac{2}{3}$:

$1 \left(x - 5\right) = - \frac{6}{1} \cdot \frac{2}{3}$

$x - 5 = \frac{12}{3} = 4$

$x - 5 = 4$

$x = 1$