$$ \begin{aligned} 2 \cdot \frac{x}{5} &= x-3&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot2 \cdot \frac{x}{5} &= 5x-5\cdot3&& \text{cancel out the denominators} \\[1 em]2x &= 5x-15&& \text{move the $ \color{blue}{ 5x } $ to the left side} \\[1 em]2x-5x &= -15&& \text{simplify left side} \\[1 em]-3x &= -15&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-15}{-3}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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