How do you solve #7( 2x + 7) = 4+ 5x#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Elias · Stefan V. Apr 17, 2018 #x=-5# Explanation: #7(2x+7) = 4 +5x# Distribute: #" "14x +49 = 4 +5x# Simplify: #" "14x +49 -5x =4 +5x -5x# #" "9x+49 = 4# Addition property of equality: #" " 9x+49 -49= 4- 49# So #9x= -45# #(9x)/9 = (-45)/9# #x= -5# 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 1502 views around the world You can reuse this answer Creative Commons License