Question
$$\frac{x}{11}+18 = 17$$
Answer
$$ x = -11 $$
Explanation
$$ \begin{aligned} \frac{x}{11}+18 &= 17&& \text{multiply ALL terms by } \color{blue}{ 11 }. \\[1 em]11 \cdot \frac{x}{11}+11\cdot18 &= 11\cdot17&& \text{cancel out the denominators} \\[1 em]x+198 &= 187&& \text{ move 198 to the right } \\[1 em]x &= 187-198&& \\[1 em]x &= -11&& \\[1 em]x &= -11&& \\[1 em] \end{aligned} $$
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