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 1432 views around the world You can reuse this answer Creative Commons License