Question
$$\frac{46}{20}-\frac{313}{20} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{46}{20}-\frac{313}{20} &= 0&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20\cdot\frac{46}{20}-20\cdot\frac{313}{20} &= 20\cdot0&& \text{cancel out the denominators} \\[1 em]46-313 &= 0&& \text{simplify left side} \\[1 em]-267 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -267 = 0 } $ is FALSE, we conclude that the equation has no solution.
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