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

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