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F a Similar Problem (6)/(x+1)-(5)/(2)=(2)/(3(x+1))

Question

f a similar problem (6)/(x+1)-(5)/(2)=(2)/(3(x+1))

Solution

Verificación de expertos
4.5 (175 Votos)
Amália Mestre · Tutor por 5 anos

Resposta

To solve the equation \(\frac{6}{x+1} - \frac{5}{2} = \frac{2}{3(x+1)}\), follow these steps:1. **Find a common denominator**: The common denominator for the fractions on the left side is \(2(x+1)\).2. **Rewrite each term with the common denominator**: 3. **Combine the fractions**: 4. **Simplify the left side**: 5. **Cross-multiply to eliminate the denominators**: 6. **Distribute and simplify**: 7. **Isolate **: So, the solution to the equation is: