$$ \begin{aligned} -\frac{1}{4}+w &= \frac{5}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]-8\cdot\frac{1}{4}+8w &= 8\cdot\frac{5}{8}&& \text{cancel out the denominators} \\[1 em]-2+8w &= 5&& \text{ move -2 to the right } \\[1 em]8w &= 5+2&& \\[1 em]8w &= 7&& \text{ divide both sides by $ 8 $ } \\[1 em]w &= \frac{7}{8}&& \\[1 em] \end{aligned} $$

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