$$ \begin{aligned} \frac{x}{3}-2 &= \frac{x}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{x}{3}-12\cdot2 &= 12 \cdot \frac{x}{4}&& \text{cancel out the denominators} \\[1 em]4x-24 &= 3x&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]4x-3x &= 24&& \text{simplify left side} \\[1 em]x &= 24&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$

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