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