$$ \begin{aligned} \frac{3}{4}x+5 &= 11&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{3}{4}x+4\cdot5 &= 4\cdot11&& \text{cancel out the denominators} \\[1 em]3x+20 &= 44&& \text{ move 20 to the right } \\[1 em]3x &= 44-20&& \\[1 em]3x &= 24&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{24}{3}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$

This page was created using