$$ \begin{aligned} 5x+\frac{3}{5} &= -\frac{1}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot5x+5\cdot\frac{3}{5} &= -5\cdot\frac{1}{5}&& \text{cancel out the denominators} \\[1 em]25x+3 &= -1&& \text{ move 3 to the right } \\[1 em]25x &= -1-3&& \\[1 em]25x &= -4&& \text{ divide both sides by $ 25 $ } \\[1 em]x &= -\frac{4}{25}&& \\[1 em] \end{aligned} $$

This page was created using