$$9x+3 = 11x-8$$
Answer
$$ x = \frac{11}{2} $$
Explanation
$$ \begin{aligned} 9x+3 &= 11x-8&& \text{move the $ \color{blue}{ 11x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]9x-11x &= -8-3&& \text{simplify left and right hand side} \\[1 em]-2x &= -11&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-11}{-2}&& \\[1 em]x &= \frac{11}{2}&& \\[1 em] \end{aligned} $$
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