How do you solve #3/(2x-1) - 4/(3x-1) = 1#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer ali ergin Mar 17, 2017 #"answer is x=1"# Explanation: #3/(2x-1)-4/(3x-1)=1# #(3(3x-1)-4(2x-1))/((2x-1)(3x-1))=1# #3(3x-1)-4(2x-1)=(2x-1)(3x-1)# #cancel(9x)-3-cancel(8x)+4=6x^2-2x-3x+1# #x+1=6x^2-5x+1# #6x^2-5xcancel(+1)-x cancel(-1)=0# #6x^2-6x=0# #cancel(6)x^2=cancel(6)x# #cancel(x^2)=cancel(x)# #x=1# Answer link Related questions How do you solve multi step equations by combining like terms? How do you solve multi step equation #w + w + 12 = 40#? How do you solve #3p + 4p + 37 = 79#? How do you solve for f: #f-1+2f+f-3=-4#? How do you combine like terms? How do you combine like terms for #-7mn-2mn^2-2mn + 8#? How do you combine like terms for #3x^2 + 21x + 5x + 10x^2#? What is a term? How do you solve #3v+5-7v+18=17#? How do you solve for x in #5x + 7x = 72#? See all questions in Multi-Step Equations with Like Terms Impact of this question 3269 views around the world You can reuse this answer Creative Commons License