$$\frac{6x+5}{3}-\frac{7x+1}{6} = 9$$

$$ \begin{aligned} \frac{6x+5}{3}-\frac{7x+1}{6} &= 9&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{6x+5}{3}-6\frac{7x+1}{6} &= 6\cdot9&& \text{cancel out the denominators} \\[1 em]12x+10-(7x+1) &= 54&& \text{simplify left side} \\[1 em]12x+10-7x-1 &= 54&& \\[1 em]5x+9 &= 54&& \text{ move 9 to the right } \\[1 em]5x &= 54-9&& \\[1 em]5x &= 45&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{45}{5}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$

This page was created using