$$ \begin{aligned} 2 \cdot \frac{x}{3}+12 &= 8&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2 \cdot \frac{x}{3}+3\cdot12 &= 3\cdot8&& \text{cancel out the denominators} \\[1 em]2x+36 &= 24&& \text{ move 36 to the right } \\[1 em]2x &= 24-36&& \\[1 em]2x &= -12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{12}{2}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$

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