Question
$$\frac{1}{2}x+1 = 2$$
Answer
$$ x = 2 $$
Explanation
$$ \begin{aligned} \frac{1}{2}x+1 &= 2&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x+2\cdot1 &= 2\cdot2&& \text{cancel out the denominators} \\[1 em]x+2 &= 4&& \text{ move 2 to the right } \\[1 em]x &= 4-2&& \\[1 em]x &= 2&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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