$$2+\frac{25}{x} = 7$$

$$ \begin{aligned} 2+\frac{25}{x} &= 7&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot2+x\cdot\frac{25}{x} &= x\cdot7&& \text{cancel out the denominators} \\[1 em]2x+25 &= 7x&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 25 }$ to the right} \\[1 em]2x-7x &= -25&& \text{simplify left side} \\[1 em]-5x &= -25&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= \frac{-25}{-5}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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