$$ \begin{aligned} \frac{8}{4}+7-6x\cdot5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{8}{4}+4\cdot7-46x\cdot5 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]8+28-120x &= 0&& \text{simplify left side} \\[1 em]-120x+36 &= 0&& \text{ move the constants to the right } \\[1 em]-120x &= -36&& \text{ divide both sides by $ -120 $ } \\[1 em]x &= \frac{-36}{-120}&& \\[1 em]x &= \frac{3}{10}&& \\[1 em] \end{aligned} $$

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