$$x=\frac{4}{5}(6x+10)$$
$x = -\frac{40}{19} = -2\frac{2}{19} \approx -2.105263158$
$$x=\frac{4}{5}\times 6x+\frac{4}{5}\times 10$$
$$x=\frac{4\times 6}{5}x+\frac{4}{5}\times 10$$
$$x=\frac{24}{5}x+\frac{4}{5}\times 10$$
$$x=\frac{24}{5}x+\frac{4\times 10}{5}$$
$$x=\frac{24}{5}x+\frac{40}{5}$$
$$x=\frac{24}{5}x+8$$
$$x-\frac{24}{5}x=8$$
$$-\frac{19}{5}x=8$$
$$x=8\left(-\frac{5}{19}\right)$$
$$x=\frac{8\left(-5\right)}{19}$$
$$x=\frac{-40}{19}$$
$$x=-\frac{40}{19}$$
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