How do you solve #4t + 1/3 = t + 5/6 + t - 3/6#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Don't Memorise Apr 15, 2016 # t = 0 # Explanation: #color(blue)(4t) + 1 /3 =color(blue)(t) + 5/6 +color(blue)(t) - 3/6# #color(blue)(4t - t -t )= 5/6 - 3/6 - 1 /3 # #color(blue)(4t - 2t )= 5/6 - 3/6 - 1 /3 # # 2t = 5/6 - 3/6 - 1 /3 # The L.C.M of the denominators #( 6 ,6 # and #3)# of the L.H.S #=6# # 2t = 5/6 - 3/6 - (1 *2 ) /(3 *2 ) # # 2t = 5/6 - 3/6 - (2 ) /(6 ) # # 2t = (5 -3 -2 ) /6 # # 2t = (5 -5 ) /6 # # 2t = (0) /6 # # 2t = 0 # # t = 0 / 2 # # t = 0 # 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 1887 views around the world You can reuse this answer Creative Commons License