Question
$$\frac{1}{6}x-13 = 16$$
Answer
$$ x = 174 $$
Explanation
$$ \begin{aligned} \frac{1}{6}x-13 &= 16&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{1}{6}x-6\cdot13 &= 6\cdot16&& \text{cancel out the denominators} \\[1 em]x-78 &= 96&& \text{ move -78 to the right } \\[1 em]x &= 96+78&& \\[1 em]x &= 174&& \\[1 em]x &= 174&& \\[1 em] \end{aligned} $$
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