$$ \begin{aligned} 9x+2x-8x+6-2x &= 6x-7x+9&& \text{simplify left and right hand side} \\[1 em]9x+2x-8x+6-2x &= -x+9&& \\[1 em]x+6 &= -x+9&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]x+x &= 9-6&& \text{simplify left and right hand side} \\[1 em]2x &= 3&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{3}{2}&& \\[1 em] \end{aligned} $$

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