$$ \begin{aligned} 3x-16 &= \frac{x}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot3x-3\cdot16 &= 3 \cdot \frac{x}{3}&& \text{cancel out the denominators} \\[1 em]9x-48 &= x&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]9x-x &= 48&& \text{simplify left side} \\[1 em]8x &= 48&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{48}{8}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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