$$\frac{1}{6}(10x-18) = 3$$

$$ \begin{aligned} \frac{1}{6}(10x-18) &= 3&& \text{simplify left side} \\[1 em]\frac{10x-18}{6} &= 3&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{10x-18}{6} &= 6\cdot3&& \text{cancel out the denominators} \\[1 em]10x-18 &= 18&& \text{ move -18 to the right } \\[1 em]10x &= 18+18&& \\[1 em]10x &= 36&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{36}{10}&& \\[1 em]x &= \frac{18}{5}&& \\[1 em] \end{aligned} $$

This page was created using