$$ \begin{aligned} \frac{4}{7}x+3 &= 6&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7 \cdot \frac{4}{7}x+7\cdot3 &= 7\cdot6&& \text{cancel out the denominators} \\[1 em]4x+21 &= 42&& \text{ move 21 to the right } \\[1 em]4x &= 42-21&& \\[1 em]4x &= 21&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{21}{4}&& \\[1 em] \end{aligned} $$

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