$$ \begin{aligned} 11 &= \frac{1}{2}(9x-8)&& \text{simplify right side} \\[1 em]11 &= \frac{9x-8}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot11 &= 2 \cdot \frac{9x-8}{2}&& \text{cancel out the denominators} \\[1 em]22 &= 9x-8&& \text{ swap the left and right side of the equation } \\[1 em]9x-8 &= 22&& \text{ move -8 to the right } \\[1 em]9x &= 22+8&& \\[1 em]9x &= 30&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{30}{9}&& \\[1 em]x &= \frac{10}{3}&& \\[1 em] \end{aligned} $$

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