$$ \begin{aligned} 5x-7x+9 &= 3x+29&& \text{simplify left side} \\[1 em]-2x+9 &= 3x+29&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]-2x-3x &= 29-9&& \text{simplify left and right hand side} \\[1 em]-5x &= 20&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{20}{5}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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