$$ \begin{aligned} 9(x+4) &= 1+2x&& \text{simplify left and right hand side} \\[1 em]9x+36 &= 2x+1&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 36 }$ to the right} \\[1 em]9x-2x &= 1-36&& \text{simplify left and right hand side} \\[1 em]7x &= -35&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= -\frac{35}{7}&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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