$$\frac{2}{3}x+15 = 17$$

$$ \begin{aligned} \frac{2}{3}x+15 &= 17&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x+3\cdot15 &= 3\cdot17&& \text{cancel out the denominators} \\[1 em]2x+45 &= 51&& \text{ move 45 to the right } \\[1 em]2x &= 51-45&& \\[1 em]2x &= 6&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{6}{2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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