$$ \begin{aligned} 2 \cdot \frac{x+4}{3} &= 12&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2 \cdot \frac{x+4}{3} &= 3\cdot12&& \text{cancel out the denominators} \\[1 em]2x+8 &= 36&& \text{ move 8 to the right } \\[1 em]2x &= 36-8&& \\[1 em]2x &= 28&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{28}{2}&& \\[1 em]x &= 14&& \\[1 em] \end{aligned} $$

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