$$ \begin{aligned} \frac{25}{5}x\cdot5+25-5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{25}{5}x\cdot5+5\cdot25-5\cdot5 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]125x+125-25 &= 0&& \text{simplify left side} \\[1 em]125x+100 &= 0&& \text{ move the constants to the right } \\[1 em]125x &= -100&& \text{ divide both sides by $ 125 $ } \\[1 em]x &= -\frac{100}{125}&& \\[1 em]x &= -\frac{4}{5}&& \\[1 em] \end{aligned} $$

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