$$ \begin{aligned} \frac{15}{5}x\cdot3-9 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{15}{5}x\cdot3-5\cdot9 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]45x-45 &= 0&& \text{ move the constants to the right } \\[1 em]45x &= 45&& \text{ divide both sides by $ 45 $ } \\[1 em]x &= \frac{45}{45}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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