$$ \begin{aligned} 3(4x+6) &= 9x+12&& \text{simplify left side} \\[1 em]12x+18 &= 9x+12&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]12x-9x &= 12-18&& \text{simplify left and right hand side} \\[1 em]3x &= -6&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{6}{3}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$

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