How do you solve -4/7x=6?

Sep 11, 2016

$x = - \frac{21}{2} = - 10 \frac{1}{2} = - 10.5$

Explanation:

$- \frac{4}{7} x = 6$

$- \frac{4}{7}$ is the only number we need to get rid of to be able to find $x$

Multiply by its reciprocal. (Same as the multiplicative inverse)

$\rightarrow$ This will allow the entire number to cancel.
$\rightarrow$ Remember to multiply by the same number on BOTH sides.

$\textcolor{red}{- \frac{7}{4}} \times - \frac{4}{7} x = \textcolor{red}{- \frac{7}{4}} \times 6$

$\textcolor{red}{- \frac{\cancel{7}}{\cancel{4}}} \times - \frac{\cancel{4}}{\cancel{7}} x = \textcolor{red}{- \frac{7}{\cancel{4}} ^ 2} \times {\cancel{6}}^{3} \text{ } \left(- \times - = +\right)$

$x = - \frac{21}{2} = - 10 \frac{1}{2} = - 10.5$