How do you solve for x in #1/x + 3/(x-1) = 7/2#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Lucy Jun 12, 2018 #x=1/7# or #x=2# Explanation: #1/x+3/(x-1)=7/2# #((x-1)+3x)/(x(x-1))=7/2# #(4x-1)/(x(x-1))=7/2# #2(4x-1)=7x(x-1)# #8x-2=7x^2-7x# #7x^2-15x+2=0# #(7x-1)(x-2)=0# #x=1/7# or #x=2# 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 1435 views around the world You can reuse this answer Creative Commons License