How do you solve 4 /( x+1) + 3 / (x - 4) = 2 /( x +1)? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Ratnaker Mehta Jul 13, 2016 The Soln. : x=1 Explanation: 4/(x+1)+3/(x-4)=2/(x+1) :. 4/(x+1)-2/(x+1)=-3/(x-4) :. 2/(x+1)=-3/(x-4) :. 2(x-4)=-3(x+1) :. 2x-8=-3x-3 :. 2x+3x=8-3 :. 5x=5 :. x=1 Hence, the Soln. : x=1 Answer link Related questions What is Clearing Denominators in Rational Equations? How do you solve rational expressions by multiplying by the least common multiple? How do you solve 5x-\frac{1}{x}=4? How do you solve -3 + \frac{1}{x+1}=\frac{2}{x} by finding the least common multiple? What is the least common multiple for \frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6} and how do... How do you solve \frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}? How do you solve by clearing the denominator of 3/x+2/x^2=4? How do you solve 2/(x^2+2x+1)-3/(x+1)=4? How do you solve equations with rational expressions 1/x+2/x=10? How do you solve for y in (y+5)/ 2 - y/3 =1? See all questions in Clearing Denominators in Rational Equations Impact of this question 1348 views around the world You can reuse this answer Creative Commons License