$$ \begin{aligned} \frac{x}{3}-\frac{3}{4} &= 2x+\frac{3}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{x}{3}-12\cdot\frac{3}{4} &= 12\cdot2x+12\cdot\frac{3}{12}&& \text{cancel out the denominators} \\[1 em]4x-9 &= 24x+3&& \text{move the $ \color{blue}{ 24x } $ to the left side and $ \color{blue}{ -9 }$ to the right} \\[1 em]4x-24x &= 3+9&& \text{simplify left and right hand side} \\[1 em]-20x &= 12&& \text{ divide both sides by $ -20 $ } \\[1 em]x &= -\frac{12}{20}&& \\[1 em]x &= -\frac{3}{5}&& \\[1 em] \end{aligned} $$

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