$$ \begin{aligned} \frac{2}{7}x+3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7 \cdot \frac{2}{7}x+7\cdot3 &= 7\cdot0&& \text{cancel out the denominators} \\[1 em]2x+21 &= 0&& \text{ move the constants to the right } \\[1 em]2x &= -21&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{21}{2}&& \\[1 em] \end{aligned} $$

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