$$2 x - \frac { 9 } { 2 } = \frac { 3 } { 5 } x - 10$$
$x = -\frac{55}{14} = -3\frac{13}{14} \approx -3.928571429$
$$2x-\frac{9}{2}-\frac{3}{5}x=-10$$
$$\frac{7}{5}x-\frac{9}{2}=-10$$
$$\frac{7}{5}x=-10+\frac{9}{2}$$
$$\frac{7}{5}x=-\frac{20}{2}+\frac{9}{2}$$
$$\frac{7}{5}x=\frac{-20+9}{2}$$
$$\frac{7}{5}x=-\frac{11}{2}$$
$$x=-\frac{11}{2}\times \frac{5}{7}$$
$$x=\frac{-11\times 5}{2\times 7}$$
$$x=\frac{-55}{14}$$
$$x=-\frac{55}{14}$$
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