$$ \begin{aligned} 8 \cdot \frac{x}{5}-6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot8 \cdot \frac{x}{5}-5\cdot6 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]8x-30 &= 0&& \text{ move the constants to the right } \\[1 em]8x &= 30&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{30}{8}&& \\[1 em]x &= \frac{15}{4}&& \\[1 em] \end{aligned} $$

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