Question
$$\frac{6}{7}-\frac{8}{5} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{6}{7}-\frac{8}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 35 }. \\[1 em]35\cdot\frac{6}{7}-35\cdot\frac{8}{5} &= 35\cdot0&& \text{cancel out the denominators} \\[1 em]30-56 &= 0&& \text{simplify left side} \\[1 em]-26 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -26 = 0 } $ is FALSE, we conclude that the equation has no solution.
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