Subjects algebra

Fraction Subtraction 6E1629

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1. **State the problem:** We want to subtract the fractions $\frac{5}{x}$ and $\frac{2x + 10}{x}$.\n\n2. **Look at the denominators:** Both fractions have the same denominator $x$, so we can subtract the top parts (numerators) directly.\n\n3. **Subtract the numerators:** $\frac{5}{x} - \frac{2x + 10}{x} = \frac{5 - (2x + 10)}{x}$.\n\n4. **Remove the parentheses:** $\frac{5 - 2x - 10}{x}$.\n\n5. **Simplify the top:** $5 - 10 = -5$, so it becomes $\frac{-5 - 2x}{x}$.\n\n6. **Write the answer clearly:** $\frac{-2x - 5}{x}$.\n\nThis is the simplest form of the subtraction.