$$ \begin{aligned} x-\frac{3}{4} &= \frac{1}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12x-12\cdot\frac{3}{4} &= 12\cdot\frac{1}{12}&& \text{cancel out the denominators} \\[1 em]12x-9 &= 1&& \text{ move -9 to the right } \\[1 em]12x &= 1+9&& \\[1 em]12x &= 10&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{10}{12}&& \\[1 em]x &= \frac{5}{6}&& \\[1 em] \end{aligned} $$

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