How do you solve (x+2)/3+(x-3)/4=1? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer The wise Moses Mar 22, 2018 x = 13/"7" Explanation: (x +2)/"3" + (x - 3)/"4" = 1 ((x +2) (4) )/"3 (4)" + ((x - 3) (3))/"4 (3)" = 1/1 ((x + 2) 4 + (x - 3) 3)/"12" = 1 (4x + 8 +3x - 9)/"12" = 1 (7x - 1)/"12" = 1 (multiply both sides with 12) 7x - 1 = 12 7x = 13 x = 13/"7" 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 1464 views around the world You can reuse this answer Creative Commons License