$$ \begin{aligned} 6-\frac{6}{6}x\cdot6+6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot6-6 \cdot \frac{6}{6}x\cdot6+6\cdot6 &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]36-36x+36 &= 0&& \text{simplify left side} \\[1 em]-36x+72 &= 0&& \text{ move the constants to the right } \\[1 em]-36x &= -72&& \text{ divide both sides by $ -36 $ } \\[1 em]x &= \frac{-72}{-36}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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