$$ \begin{aligned} \frac{3}{6}-\frac{1}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 30 }. \\[1 em]30\cdot\frac{3}{6}-30\cdot\frac{1}{5} &= 30\cdot0&& \text{cancel out the denominators} \\[1 em]15-6 &= 0&& \text{simplify left side} \\[1 em]9 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 9 = 0 } $ is FALSE, we conclude that the equation has no solution.
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