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

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