$$ \begin{aligned} 11(x-2) &= 2(x+6)-13&& \text{simplify left and right hand side} \\[1 em]11x-22 &= 2x+12-13&& \\[1 em]11x-22 &= 2x-1&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -22 }$ to the right} \\[1 em]11x-2x &= -1+22&& \text{simplify left and right hand side} \\[1 em]9x &= 21&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{21}{9}&& \\[1 em]x &= \frac{7}{3}&& \\[1 em] \end{aligned} $$

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