$$5x-\frac{1}{3}(x+1)=6(x+\frac{1}{20})$$
$x=-\frac{19}{40}=-0.475$
$$5x-\frac{1}{3}x-\frac{1}{3}=6\left(x+\frac{1}{20}\right)$$
$$\frac{14}{3}x-\frac{1}{3}=6\left(x+\frac{1}{20}\right)$$
$$\frac{14}{3}x-\frac{1}{3}=6x+6\times \frac{1}{20}$$
$$\frac{14}{3}x-\frac{1}{3}=6x+\frac{6}{20}$$
$$\frac{14}{3}x-\frac{1}{3}=6x+\frac{3}{10}$$
$$\frac{14}{3}x-\frac{1}{3}-6x=\frac{3}{10}$$
$$-\frac{4}{3}x-\frac{1}{3}=\frac{3}{10}$$
$$-\frac{4}{3}x=\frac{3}{10}+\frac{1}{3}$$
$$-\frac{4}{3}x=\frac{9}{30}+\frac{10}{30}$$
$$-\frac{4}{3}x=\frac{9+10}{30}$$
$$-\frac{4}{3}x=\frac{19}{30}$$
$$x=\frac{19}{30}\left(-\frac{3}{4}\right)$$
$$x=\frac{19\left(-3\right)}{30\times 4}$$
$$x=\frac{-57}{120}$$
$$x=-\frac{19}{40}$$
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