$$ \begin{aligned} \frac{11}{s}+3+4 &= 5&& \text{multiply ALL terms by } \color{blue}{ s }. \\[1 em]s\cdot\frac{11}{s}+s\cdot3+s\cdot4 &= s\cdot5&& \text{cancel out the denominators} \\[1 em]11+3s+4s &= 5s&& \text{simplify left side} \\[1 em]7s+11 &= 5s&& \text{move the $ \color{blue}{ 5s } $ to the left side and $ \color{blue}{ 11 }$ to the right} \\[1 em]7s-5s &= -11&& \text{simplify left side} \\[1 em]2s &= -11&& \text{ divide both sides by $ 2 $ } \\[1 em]s &= -\frac{11}{2}&& \\[1 em] \end{aligned} $$

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