$$\frac{2a-5}{6} = \frac{5}{12}$$

$$ \begin{aligned} \frac{2a-5}{6} &= \frac{5}{12}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{2a-5}{6} &= 12\cdot\frac{5}{12}&& \text{cancel out the denominators} \\[1 em]4a-10 &= 5&& \text{ move -10 to the right } \\[1 em]4a &= 5+10&& \\[1 em]4a &= 15&& \text{ divide both sides by $ 4 $ } \\[1 em]a &= \frac{15}{4}&& \\[1 em] \end{aligned} $$

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