$$ \begin{aligned} 2+\frac{6}{2}x\cdot3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot2+2 \cdot \frac{6}{2}x\cdot3 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]4+18x &= 0&& \text{ move the constants to the right } \\[1 em]18x &= -4&& \text{ divide both sides by $ 18 $ } \\[1 em]x &= -\frac{4}{18}&& \\[1 em]x &= -\frac{2}{9}&& \\[1 em] \end{aligned} $$

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