$$ \begin{aligned} \frac{3}{4}x+7 &= x+4&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}x+4\cdot7 &= 4x+4\cdot4&& \text{cancel out the denominators} \\[1 em]3x+28 &= 4x+16&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 28 }$ to the right} \\[1 em]3x-4x &= 16-28&& \text{simplify left and right hand side} \\[1 em]-x &= -12&& \text{switch signs on both sides} \\[1 em]x &= 12&& \\[1 em] \end{aligned} $$

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