Question
$$\frac{x}{2}-3 = 3$$
Answer
$$ x = 12 $$
Explanation
$$ \begin{aligned} \frac{x}{2}-3 &= 3&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{x}{2}-2\cdot3 &= 2\cdot3&& \text{cancel out the denominators} \\[1 em]x-6 &= 6&& \text{ move -6 to the right } \\[1 em]x &= 6+6&& \\[1 em]x &= 12&& \\[1 em]x &= 12&& \\[1 em] \end{aligned} $$
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