$$ \begin{aligned} \frac{1}{4}(x-2) &= 12&& \text{simplify left side} \\[1 em]\frac{x-2}{4} &= 12&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{x-2}{4} &= 4\cdot12&& \text{cancel out the denominators} \\[1 em]x-2 &= 48&& \text{ move -2 to the right } \\[1 em]x &= 48+2&& \\[1 em]x &= 50&& \\[1 em]x &= 50&& \\[1 em] \end{aligned} $$

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