$$ \begin{aligned} 9x-4 &= 18 \cdot \frac{x}{3}+2&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot9x-3\cdot4 &= 3\cdot18 \cdot \frac{x}{3}+3\cdot2&& \text{cancel out the denominators} \\[1 em]27x-12 &= 18x+6&& \text{move the $ \color{blue}{ 18x } $ to the left side and $ \color{blue}{ -12 }$ to the right} \\[1 em]27x-18x &= 6+12&& \text{simplify left and right hand side} \\[1 em]9x &= 18&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{18}{9}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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