How do you solve the equation #2 + (3/(x-1)) = 10#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 2 Answers Lucy Apr 2, 2018 #x=11/8# Explanation: #2+(3/(x-1))#=10 #(3/(x-1))#=8 #3=8(x-1)# #3=8x-8# #11=8x# #x=11/8# Answer link Jade Apr 2, 2018 #x=1 3/8# Explanation: #2+3/(x-1)=10# #rArr (2(x-1)+3)/(x-1)=10# #rArr2x-2+3=10(x-1)# #rArr2x+1=10x-10# #rArr8x=11# #x=11/8# #:.x=1 3/8# 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 1635 views around the world You can reuse this answer Creative Commons License