$$\frac { 1 } { 6 } x - \frac { 4 } { 10 } = \frac { 4 } { 5 } x - \frac { 1 } { 12 }$$
$x=-\frac{1}{2}=-0.5$
$$\frac{1}{6}x-\frac{2}{5}=\frac{4}{5}x-\frac{1}{12}$$
$$\frac{1}{6}x-\frac{2}{5}-\frac{4}{5}x=-\frac{1}{12}$$
$$-\frac{19}{30}x-\frac{2}{5}=-\frac{1}{12}$$
$$-\frac{19}{30}x=-\frac{1}{12}+\frac{2}{5}$$
$$-\frac{19}{30}x=-\frac{5}{60}+\frac{24}{60}$$
$$-\frac{19}{30}x=\frac{-5+24}{60}$$
$$-\frac{19}{30}x=\frac{19}{60}$$
$$x=\frac{19}{60}\left(-\frac{30}{19}\right)$$
$$x=\frac{19\left(-30\right)}{60\times 19}$$
$$x=\frac{-30}{60}$$
$$x=-\frac{1}{2}$$
Show Solution
Hide Solution
