$$ \begin{aligned} 6 \cdot \frac{x}{5}+4 &= 10&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot6 \cdot \frac{x}{5}+5\cdot4 &= 5\cdot10&& \text{cancel out the denominators} \\[1 em]6x+20 &= 50&& \text{ move 20 to the right } \\[1 em]6x &= 50-20&& \\[1 em]6x &= 30&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{30}{6}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$
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