$$ \begin{aligned} \frac{2}{3}x+4 &= -12&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot4 &= 3\cdot(-12)&& \text{cancel out the denominators} \\[1 em]2x+12 &= -36&& \text{ move 12 to the right } \\[1 em]2x &= -36-12&& \\[1 em]2x &= -48&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{48}{2}&& \\[1 em]x &= -24&& \\[1 em] \end{aligned} $$

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