$$ \begin{aligned} 4(x+9) &= x+6&& \text{simplify left side} \\[1 em]4x+36 &= x+6&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 36 }$ to the right} \\[1 em]4x-x &= 6-36&& \text{simplify left and right hand side} \\[1 em]3x &= -30&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{30}{3}&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$

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