$$ \begin{aligned} 2x+1 &= \frac{2}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot2x+5\cdot1 &= 5\cdot\frac{2}{5}&& \text{cancel out the denominators} \\[1 em]10x+5 &= 2&& \text{ move 5 to the right } \\[1 em]10x &= 2-5&& \\[1 em]10x &= -3&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= -\frac{3}{10}&& \\[1 em] \end{aligned} $$

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