$$ \begin{aligned} 9-2(x-5) &= x+10&& \text{simplify left side} \\[1 em]9-(2x-10) &= x+10&& \\[1 em]9-2x+10 &= x+10&& \\[1 em]-2x+19 &= x+10&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 19 }$ to the right} \\[1 em]-2x-x &= 10-19&& \text{simplify left and right hand side} \\[1 em]-3x &= -9&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-9}{-3}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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