$$ \begin{aligned} \frac{5}{5}x-5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{5}{5}x-5\cdot5 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]5x-25 &= 0&& \text{ move the constants to the right } \\[1 em]5x &= 25&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{25}{5}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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