$$\frac{ 2 }{ 3 } x- \frac{ 1 }{ 2 } = \frac{ 5 }{ 6 }$$
$x=2$
$$\frac{2}{3}x=\frac{5}{6}+\frac{1}{2}$$
$$\frac{2}{3}x=\frac{5}{6}+\frac{3}{6}$$
$$\frac{2}{3}x=\frac{5+3}{6}$$
$$\frac{2}{3}x=\frac{8}{6}$$
$$\frac{2}{3}x=\frac{4}{3}$$
$$x=\frac{4}{3}\times \frac{3}{2}$$
$$x=\frac{4\times 3}{3\times 2}$$
$$x=\frac{4}{2}$$
$$x=2$$
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