$$ \begin{aligned} 2 \cdot \frac{a}{5} &= 3a-\frac{5}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot2 \cdot \frac{a}{5} &= 10\cdot3a-10\cdot\frac{5}{10}&& \text{cancel out the denominators} \\[1 em]4a &= 30a-5&& \text{move the $ \color{blue}{ 30a } $ to the left side} \\[1 em]4a-30a &= -5&& \text{simplify left side} \\[1 em]-26a &= -5&& \text{ divide both sides by $ -26 $ } \\[1 em]a &= \frac{-5}{-26}&& \\[1 em]a &= \frac{5}{26}&& \\[1 em] \end{aligned} $$

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