$$ \begin{aligned} \frac{2}{x+5} &= \frac{4}{11}&& \text{multiply ALL terms by } \color{blue}{ (x+5)\cdot11 }. \\[1 em](x+5)\cdot11\cdot\frac{2}{x+5} &= (x+5)\cdot11\cdot\frac{4}{11}&& \text{cancel out the denominators} \\[1 em]22 &= 4x+20&& \text{ swap the left and right side of the equation } \\[1 em]4x+20 &= 22&& \text{ move 20 to the right } \\[1 em]4x &= 22-20&& \\[1 em]4x &= 2&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{2}{4}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$

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