$$x+(100-x)\cdot\frac{30}{100} = 44$$

$$ \begin{aligned} x+(100-x)\cdot\frac{30}{100} &= 44&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x+100(100-x)\cdot\frac{30}{100} &= 100\cdot44&& \text{cancel out the denominators} \\[1 em]100x-30x+3000 &= 4400&& \text{simplify left side} \\[1 em]70x+3000 &= 4400&& \text{ move 3000 to the right } \\[1 em]70x &= 4400-3000&& \\[1 em]70x &= 1400&& \text{ divide both sides by $ 70 $ } \\[1 em]x &= \frac{1400}{70}&& \\[1 em]x &= 20&& \\[1 em] \end{aligned} $$

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