Question
$$\frac{3}{4}-12 = 8+\frac{5}{8}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{3}{4}-12 &= 8+\frac{5}{8}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot\frac{3}{4}-8\cdot12 &= 8\cdot8+8\cdot\frac{5}{8}&& \text{cancel out the denominators} \\[1 em]6-96 &= 64+5&& \text{simplify left and right hand side} \\[1 em]-90 &= 69&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -90 = 69 } $ is FALSE, we conclude that the equation has no solution.
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