$$ \begin{aligned} \frac{2}{3}x+19 &= 35&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot19 &= 3\cdot35&& \text{cancel out the denominators} \\[1 em]2x+57 &= 105&& \text{ move 57 to the right } \\[1 em]2x &= 105-57&& \\[1 em]2x &= 48&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{48}{2}&& \\[1 em]x &= 24&& \\[1 em] \end{aligned} $$

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