$$ \begin{aligned} 6(x-2) &= \frac{1}{4}(16x+4)&& \text{simplify left and right hand side} \\[1 em]6x-12 &= \frac{16x+4}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot6x-4\cdot12 &= 4 \cdot \frac{16x+4}{4}&& \text{cancel out the denominators} \\[1 em]24x-48 &= 16x+4&& \text{move the $ \color{blue}{ 16x } $ to the left side and $ \color{blue}{ -48 }$ to the right} \\[1 em]24x-16x &= 4+48&& \text{simplify left and right hand side} \\[1 em]8x &= 52&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{52}{8}&& \\[1 em]x &= \frac{13}{2}&& \\[1 em] \end{aligned} $$

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