$$ \begin{aligned} 7x\cdot2-5+\frac{8}{4} &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]47x\cdot2-4\cdot5+4\cdot\frac{8}{4} &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]56x-20+8 &= 0&& \text{simplify left side} \\[1 em]56x-12 &= 0&& \text{ move the constants to the right } \\[1 em]56x &= 12&& \text{ divide both sides by $ 56 $ } \\[1 em]x &= \frac{12}{56}&& \\[1 em]x &= \frac{3}{14}&& \\[1 em] \end{aligned} $$

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