$$ \begin{aligned} \frac{3}{4}x+\frac{1}{2} &= \frac{7}{4}-\frac{5}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}x+4\cdot\frac{1}{2} &= 4\cdot\frac{7}{4}-4\cdot\frac{5}{4}&& \text{cancel out the denominators} \\[1 em]3x+2 &= 7-5&& \text{simplify right side} \\[1 em]3x+2 &= 2&& \text{ move 2 to the right } \\[1 em]3x &= 2-2&& \\[1 em]3x &= 0&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{0}{3}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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