Question
$$2x = 5-\frac{5}{4}$$
Answer
$$ x = \dfrac{15}{8} $$
Explanation
$$ \begin{aligned} 2x &= 5-\frac{5}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2x &= 4\cdot5-4\cdot\frac{5}{4}&& \text{cancel out the denominators} \\[1 em]8x &= 20-5&& \text{simplify right side} \\[1 em]8x &= 15&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{15}{8}&& \\[1 em] \end{aligned} $$
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