How do you solve 2/3 = 2 - (5x-3)/(x-1)23=2−5x−3x−1? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Burglar Jun 19, 2016 x=5/11x=511. Explanation: 2/3=2-(5x-3)/(x-1)23=2−5x−3x−1 2/3-2=-(5x-3)/(x-1)23−2=−5x−3x−1 -4/3=-(5x-3)/(x-1)−43=−5x−3x−1 4/3=(5x-3)/(x-1)43=5x−3x−1 4/3(x-1)=5x-343(x−1)=5x−3 4(x-1)=3(5x-3)4(x−1)=3(5x−3) 4x-4=15x-94x−4=15x−9 4x-15x=-9+44x−15x=−9+4 -11x=-5−11x=−5 x=5/11x=511. 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}=45x−1x=4? How do you solve -3 + \frac{1}{x+1}=\frac{2}{x}−3+1x+1=2x 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}xx−2+xx+3=1x2+x−6 and how do... How do you solve \frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}xx2−36+1x−6=1x+6? How do you solve by clearing the denominator of 3/x+2/x^2=43x+2x2=4? How do you solve 2/(x^2+2x+1)-3/(x+1)=42x2+2x+1−3x+1=4? How do you solve equations with rational expressions 1/x+2/x=101x+2x=10? How do you solve for y in (y+5)/ 2 - y/3 =1y+52−y3=1? See all questions in Clearing Denominators in Rational Equations Impact of this question 1396 views around the world You can reuse this answer Creative Commons License