$$2-4 \cdot \frac{1}{9}x = -6$$

$$ \begin{aligned} 2-4 \cdot \frac{1}{9}x &= -6&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9\cdot2-9\cdot4 \cdot \frac{1}{9}x &= 9\cdot(-6)&& \text{cancel out the denominators} \\[1 em]18-4x &= -54&& \text{ move 18 to the right } \\[1 em]-4x &= -54-18&& \\[1 em]-4x &= -72&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-72}{-4}&& \\[1 em]x &= 18&& \\[1 em] \end{aligned} $$

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