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

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