Question
$$\frac{3}{7}+\frac{5}{2}-\frac{1}{3} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{3}{7}+\frac{5}{2}-\frac{1}{3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 42 }. \\[1 em]42\cdot\frac{3}{7}+42\cdot\frac{5}{2}-42\cdot\frac{1}{3} &= 42\cdot0&& \text{cancel out the denominators} \\[1 em]18+105-14 &= 0&& \text{simplify left side} \\[1 em]109 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 109 = 0 } $ is FALSE, we conclude that the equation has no solution.
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