$$ \begin{aligned} 5+5x\cdot5+5x\cdot0 &= 0&& \text{simplify left side} \\[1 em]5+5x\cdot5+5x\cdot0 &= 0&& \\[1 em]5+25x+0x &= 0&& \\[1 em]5+25x+0x &= 0&& \\[1 em]25x+5 &= 0&& \text{ move the constants to the right } \\[1 em]25x &= -5&& \text{ divide both sides by $ 25 $ } \\[1 em]x &= -\frac{5}{25}&& \\[1 em]x &= -\frac{1}{5}&& \\[1 em] \end{aligned} $$

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