Question
$$-2(\frac{17}{10}+\frac{31}{10}) = 4$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -2(\frac{17}{10}+\frac{31}{10}) &= 4&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]-10\cdot2(\frac{17}{10}+\frac{31}{10}) &= 10\cdot4&& \text{cancel out the denominators} \\[1 em]-80 &= 40&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -80 = 40 } $ is FALSE, we conclude that the equation has no solution.
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