$$ \begin{aligned} -10x-(9x+6) &= 3+x&& \text{simplify left and right hand side} \\[1 em]-10x-9x-6 &= x+3&& \\[1 em]-19x-6 &= x+3&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]-19x-x &= 3+6&& \text{simplify left and right hand side} \\[1 em]-20x &= 9&& \text{ divide both sides by $ -20 $ } \\[1 em]x &= -\frac{9}{20}&& \\[1 em] \end{aligned} $$

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