$$ \begin{aligned} \frac{10}{3}n-\frac{5}{2}n &= \frac{5}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{10}{3}n-6\frac{5}{2}n &= 6\cdot\frac{5}{3}&& \text{cancel out the denominators} \\[1 em]20n-15n &= 10&& \text{simplify left side} \\[1 em]5n &= 10&& \text{ divide both sides by $ 5 $ } \\[1 em]n &= \frac{10}{5}&& \\[1 em]n &= 2&& \\[1 em] \end{aligned} $$

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