Question
$$\frac{x}{6}-\frac{x}{8} = 1$$
Answer
$$ x = 24 $$
Explanation
$$ \begin{aligned} \frac{x}{6}-\frac{x}{8} &= 1&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24 \cdot \frac{x}{6}-24\frac{x}{8} &= 24\cdot1&& \text{cancel out the denominators} \\[1 em]4x-3x &= 24&& \text{simplify left side} \\[1 em]x &= 24&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$
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