Question
$$5+\frac{3}{7}\cdot2-1 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 5+\frac{3}{7}\cdot2-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot5+7 \cdot \frac{3}{7}\cdot2-7\cdot1 &= 7\cdot0&& \text{cancel out the denominators} \\[1 em]35+6-7 &= 0&& \text{simplify left side} \\[1 em]34 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 34 = 0 } $ is FALSE, we conclude that the equation has no solution.
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