$$ \begin{aligned} \frac{1}{4}(12x+16) &= 6x+4-2x&& \text{simplify left and right hand side} \\[1 em]\frac{12x+16}{4} &= 4x+4&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{12x+16}{4} &= 4\cdot4x+4\cdot4&& \text{cancel out the denominators} \\[1 em]12x+16 &= 16x+16&& \text{move the $ \color{blue}{ 16x } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]12x-16x &= 16-16&& \text{simplify left and right hand side} \\[1 em]-4x &= 0&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{0}{-4}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

This page was created using