$$ \begin{aligned} \frac{25}{5}x\cdot3+10 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{25}{5}x\cdot3+5\cdot10 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]75x+50 &= 0&& \text{ move the constants to the right } \\[1 em]75x &= -50&& \text{ divide both sides by $ 75 $ } \\[1 em]x &= -\frac{50}{75}&& \\[1 em]x &= -\frac{2}{3}&& \\[1 em] \end{aligned} $$

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