$$ \begin{aligned} \frac{1}{4}(x+2)+\frac{1}{6}(x+4) &= 10&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{1}{4}(x+2)+12\frac{1}{6}(x+4) &= 12\cdot10&& \text{cancel out the denominators} \\[1 em]3x+6+2x+8 &= 120&& \text{simplify left side} \\[1 em]5x+14 &= 120&& \text{ move 14 to the right } \\[1 em]5x &= 120-14&& \\[1 em]5x &= 106&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{106}{5}&& \\[1 em] \end{aligned} $$

This page was created using