Question
$$8-\frac{3}{4} = \frac{1}{12}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 8-\frac{3}{4} &= \frac{1}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12\cdot8-12\cdot\frac{3}{4} &= 12\cdot\frac{1}{12}&& \text{cancel out the denominators} \\[1 em]96-9 &= 1&& \text{simplify left side} \\[1 em]87 &= 1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 87 = 1 } $ is FALSE, we conclude that the equation has no solution.
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