$$ \begin{aligned} \frac{4}{5} &= \frac{w+8}{15}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot\frac{4}{5} &= 15 \cdot \frac{w+8}{15}&& \text{cancel out the denominators} \\[1 em]12 &= w+8&& \text{ swap the left and right side of the equation } \\[1 em]w+8 &= 12&& \text{ move 8 to the right } \\[1 em]w &= 12-8&& \\[1 em]w &= 4&& \\[1 em]w &= 4&& \\[1 em] \end{aligned} $$

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