$$ \begin{aligned} 9+5(x-7) &= 3x+20&& \text{simplify left side} \\[1 em]9+5x-35 &= 3x+20&& \\[1 em]5x-26 &= 3x+20&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -26 }$ to the right} \\[1 em]5x-3x &= 20+26&& \text{simplify left and right hand side} \\[1 em]2x &= 46&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{46}{2}&& \\[1 em]x &= 23&& \\[1 em] \end{aligned} $$

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