$$ \begin{aligned} 5(x-1)-2(x+8) &= 0&& \text{simplify left side} \\[1 em]5x-5-(2x+16) &= 0&& \\[1 em]5x-5-2x-16 &= 0&& \\[1 em]3x-21 &= 0&& \text{ move the constants to the right } \\[1 em]3x &= 21&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{21}{3}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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