$$ \begin{aligned} 6-\frac{1}{3}x &= -1&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot6-3 \cdot \frac{1}{3}x &= 3\cdot(-1)&& \text{cancel out the denominators} \\[1 em]18-x &= -3&& \text{ move 18 to the right } \\[1 em]-x &= -3-18&& \\[1 em]-x &= -21&& \text{switch signs on both sides} \\[1 em]x &= 21&& \\[1 em] \end{aligned} $$

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