$$ \begin{aligned} 50-\frac{1}{2}x\cdot(12+26) &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot50-2 \cdot \frac{1}{2}x\cdot(12+26) &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]100-38x &= 0&& \text{ move the constants to the right } \\[1 em]-38x &= -100&& \text{ divide both sides by $ -38 $ } \\[1 em]x &= \frac{-100}{-38}&& \\[1 em]x &= \frac{50}{19}&& \\[1 em] \end{aligned} $$

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