$$ \begin{aligned} \frac{7}{12}x-\frac{1}{4} &= 5&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{7}{12}x-12\cdot\frac{1}{4} &= 12\cdot5&& \text{cancel out the denominators} \\[1 em]7x-3 &= 60&& \text{ move -3 to the right } \\[1 em]7x &= 60+3&& \\[1 em]7x &= 63&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{63}{7}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$

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