$$ \begin{aligned} -3(x-7)+5 &= 2x-16&& \text{simplify left side} \\[1 em]-(3x-21)+5 &= 2x-16&& \\[1 em]-3x+21+5 &= 2x-16&& \\[1 em]-3x+26 &= 2x-16&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 26 }$ to the right} \\[1 em]-3x-2x &= -16-26&& \text{simplify left and right hand side} \\[1 em]-5x &= -42&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-42}{-5}&& \\[1 em]x &= \frac{42}{5}&& \\[1 em] \end{aligned} $$

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