$$ \begin{aligned} \frac{4}{5}x+\frac{6}{5} &= -\frac{6}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{4}{5}x+5\cdot\frac{6}{5} &= -5\cdot\frac{6}{5}&& \text{cancel out the denominators} \\[1 em]4x+6 &= -6&& \text{ move 6 to the right } \\[1 em]4x &= -6-6&& \\[1 em]4x &= -12&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{12}{4}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$

This page was created using