$$ \begin{aligned} 11x+7\cdot\frac{1}{2} &= 90&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot11x+2\cdot7\cdot\frac{1}{2} &= 2\cdot90&& \text{cancel out the denominators} \\[1 em]22x+7 &= 180&& \text{ move 7 to the right } \\[1 em]22x &= 180-7&& \\[1 em]22x &= 173&& \text{ divide both sides by $ 22 $ } \\[1 em]x &= \frac{173}{22}&& \\[1 em] \end{aligned} $$

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