Subjects algebra

Subtract Fractions B01A37

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1. **State the problem:** Simplify the expression $$\frac{5}{x} - \frac{2x + 10}{x}$$. 2. **Identify the common denominator:** Both terms have the denominator $x$, so we can combine the numerators directly. 3. **Combine the fractions:** $$\frac{5}{x} - \frac{2x + 10}{x} = \frac{5 - (2x + 10)}{x}$$ 4. **Distribute the negative sign in the numerator:** $$\frac{5 - 2x - 10}{x}$$ 5. **Simplify the numerator:** $$\frac{\cancel{5 - 10} - 2x}{x} = \frac{-5 - 2x}{x}$$ 6. **Rewrite the numerator for clarity:** $$\frac{-2x - 5}{x}$$ 7. **Final answer:** $$\frac{-2x - 5}{x}$$ This is the simplified form of the given expression.