How do you solve (x+2)/6=(x-1)/12?

Oct 8, 2017

$x = - 5$

Explanation:

By cross multiplication,
$12 \left(x + 2\right) = 6 \left(x - 1\right)$
$12 x + 24 = 6 x - 6$
$12 x - 6 x = - 24 - 6$
$6 x = - 30$
Divide both sides by $\textcolor{red}{6}$
$\frac{\cancel{6 x}}{\cancel{\textcolor{red}{6}}} = \frac{- 30}{\textcolor{red}{6}}$
$x = - 5$