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