$$2+\frac{1}{6}x = -4$$
Answer
$$ x = -36 $$
Explanation
$$ \begin{aligned} 2+\frac{1}{6}x &= -4&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot2+6 \cdot \frac{1}{6}x &= 6\cdot(-4)&& \text{cancel out the denominators} \\[1 em]12+x &= -24&& \text{ move 12 to the right } \\[1 em]x &= -24-12&& \\[1 em]x &= -36&& \\[1 em]x &= -36&& \\[1 em] \end{aligned} $$
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