$$ \begin{aligned} 4+\frac{3}{4}x &= 2+\frac{2}{3}x&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12\cdot4+12 \cdot \frac{3}{4}x &= 12\cdot2+12 \cdot \frac{2}{3}x&& \text{cancel out the denominators} \\[1 em]48+9x &= 24+8x&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 48 }$ to the right} \\[1 em]9x-8x &= 24-48&& \text{simplify left and right hand side} \\[1 em]x &= -24&& \\[1 em]x &= -24&& \\[1 em] \end{aligned} $$

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