$$\frac{5}{3}(2x+5)=\frac{3}{8}(2-3)$$
$x = -\frac{209}{80} = -2\frac{49}{80} = -2.6125$
$$\frac{5}{3}\times 2x+\frac{5}{3}\times 5=\frac{3}{8}\left(2-3\right)$$
$$\frac{5\times 2}{3}x+\frac{5}{3}\times 5=\frac{3}{8}\left(2-3\right)$$
$$\frac{10}{3}x+\frac{5}{3}\times 5=\frac{3}{8}\left(2-3\right)$$
$$\frac{10}{3}x+\frac{5\times 5}{3}=\frac{3}{8}\left(2-3\right)$$
$$\frac{10}{3}x+\frac{25}{3}=\frac{3}{8}\left(2-3\right)$$
$$\frac{10}{3}x+\frac{25}{3}=\frac{3}{8}\left(-1\right)$$
$$\frac{10}{3}x+\frac{25}{3}=-\frac{3}{8}$$
$$\frac{10}{3}x=-\frac{3}{8}-\frac{25}{3}$$
$$\frac{10}{3}x=-\frac{9}{24}-\frac{200}{24}$$
$$\frac{10}{3}x=\frac{-9-200}{24}$$
$$\frac{10}{3}x=-\frac{209}{24}$$
$$x=-\frac{209}{24}\times \frac{3}{10}$$
$$x=\frac{-209\times 3}{24\times 10}$$
$$x=\frac{-627}{240}$$
$$x=-\frac{209}{80}$$
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