$$ \begin{aligned} \frac{3}{x}+\frac{2}{x}+2 &= -\frac{x}{x}+2&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{3}{x}+x\cdot\frac{2}{x}+x\cdot2 &= -x \cdot \frac{x}{x}+x\cdot2&& \text{cancel out the denominators} \\[1 em]3+2+2x &= -x+2x&& \text{simplify left and right hand side} \\[1 em]2x+5 &= x&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]2x-x &= -5&& \text{simplify left side} \\[1 em]x &= -5&& \\[1 em]x &= -5&& \\[1 em] \end{aligned} $$

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