$$x+\frac{1}{2} = \frac{3}{4}$$

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

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