$$\frac{1}{5}-\frac{2}{3}+2x=\frac{1}{2}$$
$x=\frac{29}{60}\approx 0.483333333$
$$\frac{3}{15}-\frac{10}{15}+2x=\frac{1}{2}$$
$$\frac{3-10}{15}+2x=\frac{1}{2}$$
$$-\frac{7}{15}+2x=\frac{1}{2}$$
$$2x=\frac{1}{2}+\frac{7}{15}$$
$$2x=\frac{15}{30}+\frac{14}{30}$$
$$2x=\frac{15+14}{30}$$
$$2x=\frac{29}{30}$$
$$x=\frac{\frac{29}{30}}{2}$$
$$x=\frac{29}{30\times 2}$$
$$x=\frac{29}{60}$$
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