# How do you solve -3/4 x = 12?

May 19, 2016

convert $- \frac{3}{4}$ into a decimal, then divide $\frac{12}{-} 0.75$

#### Explanation:

$- \frac{3}{4} = 3 \div 4 = - 0.75$

$\frac{12}{-} 0.75 = - 16$

$x = - 16$

Because $- 0.75 \times - 16 = 12$

May 19, 2016

$x = - 16$

#### Explanation:

Multiply both sides by $\textcolor{b l u e}{\frac{4}{3}}$

$\textcolor{b r o w n}{- \frac{3}{4} x = 12 \text{ "->" } - \left(\frac{3}{4} \textcolor{b l u e}{\times \frac{4}{3}}\right) \times x = 12 \textcolor{b l u e}{\times \frac{4}{3}}}$

But $\frac{3}{4} \times \frac{4}{3} = 1$

$- 1 \times x = 16$

Multiply both sides by $\left(- 1\right)$

$+ 1 \times x = - 16$

$x = - 16$