$$x-\frac{4}{5}(x+10)$$
$\frac{x}{5}-8$
$$x-\frac{4}{5}x-\frac{4}{5}\times 10$$
$$x-\frac{4}{5}x+\frac{-4\times 10}{5}$$
$$x-\frac{4}{5}x+\frac{-40}{5}$$
$$x-\frac{4}{5}x-8$$
$$\frac{1}{5}x-8$$
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