$$ \begin{aligned} 6(x+9) &= 2(x+4)&& \text{simplify left and right hand side} \\[1 em]6x+54 &= 2x+8&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 54 }$ to the right} \\[1 em]6x-2x &= 8-54&& \text{simplify left and right hand side} \\[1 em]4x &= -46&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{46}{4}&& \\[1 em]x &= -\frac{23}{2}&& \\[1 em] \end{aligned} $$

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