$$5+\frac{2}{x} = \frac{17}{x}$$

$$ \begin{aligned} 5+\frac{2}{x} &= \frac{17}{x}&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot5+x\cdot\frac{2}{x} &= x\cdot\frac{17}{x}&& \text{cancel out the denominators} \\[1 em]5x+2 &= 17&& \text{ move 2 to the right } \\[1 em]5x &= 17-2&& \\[1 em]5x &= 15&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{15}{5}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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