$$ \begin{aligned} 8+\frac{8}{8}+8x\cdot8-8 &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot8+8\cdot\frac{8}{8}+88x\cdot8-8\cdot8 &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]64+8+512x-64 &= 0&& \text{simplify left side} \\[1 em]64+8+512x-64 &= 0&& \\[1 em]512x+8 &= 0&& \text{ move the constants to the right } \\[1 em]512x &= -8&& \text{ divide both sides by $ 512 $ } \\[1 em]x &= -\frac{8}{512}&& \\[1 em]x &= -\frac{1}{64}&& \\[1 em] \end{aligned} $$

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