$$8 \cdot \frac{x}{6}+2x = 200$$

$$ \begin{aligned} 8 \cdot \frac{x}{6}+2x &= 200&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot8 \cdot \frac{x}{6}+6\cdot2x &= 6\cdot200&& \text{cancel out the denominators} \\[1 em]8x+12x &= 1200&& \text{simplify left side} \\[1 em]20x &= 1200&& \text{ divide both sides by $ 20 $ } \\[1 em]x &= \frac{1200}{20}&& \\[1 em]x &= 60&& \\[1 em] \end{aligned} $$

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