$$ \begin{aligned} 2(3x-9) &= -2(-x+1)+9x&& \text{simplify left and right hand side} \\[1 em]6x-18 &= -(-2x+2)+9x&& \\[1 em]6x-18 &= 2x-2+9x&& \\[1 em]6x-18 &= 11x-2&& \text{move the $ \color{blue}{ 11x } $ to the left side and $ \color{blue}{ -18 }$ to the right} \\[1 em]6x-11x &= -2+18&& \text{simplify left and right hand side} \\[1 em]-5x &= 16&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{16}{5}&& \\[1 em] \end{aligned} $$

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