$$ \begin{aligned} 6+\frac{4}{5}x\cdot2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot6+5 \cdot \frac{4}{5}x\cdot2 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]30+8x &= 0&& \text{ move the constants to the right } \\[1 em]8x &= -30&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= -\frac{30}{8}&& \\[1 em]x &= -\frac{15}{4}&& \\[1 em] \end{aligned} $$

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