$$\frac{ 1 }{ 2 } x+ \frac{ 2 }{ 5 } = \frac{ 1 }{ 3 } x- \frac{ 5 }{ 2 }$$
$x = -\frac{87}{5} = -17\frac{2}{5} = -17.4$
$$\frac{1}{2}x+\frac{2}{5}-\frac{1}{3}x=-\frac{5}{2}$$
$$\frac{1}{6}x+\frac{2}{5}=-\frac{5}{2}$$
$$\frac{1}{6}x=-\frac{5}{2}-\frac{2}{5}$$
$$\frac{1}{6}x=-\frac{25}{10}-\frac{4}{10}$$
$$\frac{1}{6}x=\frac{-25-4}{10}$$
$$\frac{1}{6}x=-\frac{29}{10}$$
$$x=-\frac{29}{10}\times 6$$
$$x=\frac{-29\times 6}{10}$$
$$x=\frac{-174}{10}$$
$$x=-\frac{87}{5}$$
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