$$ \begin{aligned} 12 \cdot \frac{x}{2}+8 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot12 \cdot \frac{x}{2}+2\cdot8 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]12x+16 &= 0&& \text{ move the constants to the right } \\[1 em]12x &= -16&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= -\frac{16}{12}&& \\[1 em]x &= -\frac{4}{3}&& \\[1 em] \end{aligned} $$

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