How do you solve 24+7x=-4x-9? Algebra Linear Equations Equations with Variables on Both Sides 1 Answer smendyka Oct 30, 2016 #x = -3# Explanation: To solve this keep the equation balanced and move all of the #x# terms to one side of the equation and the non-#x# terms to the other side of the equation as follows: #24 - 24 + 7x + 4x = -4x + 4x - 9 - 24# #11x = -33# #(11x)/11 = -33/11# #x = -3# Answer link Related questions How do you check solutions to equations with variables on both sides? How do you solve #125+20w-20w=43+37w-20w#? How do you solve for x in #3(x-1) = 2 (x+3)#? Is there a way to solve for x without using distribution in #4(x-1) = 2 (x+3)#? How do you solve for t in #2/7(t+2/3)=1/5(t-2/3)#? How do you solve #5n + 34 = −2(1 − 7n)#? How do you simplify first and then solve #−(1 + 7x) − 6(−7 − x) = 36#? Why is the solution to this equation #-15y + 7y + 1 = 3 - 8y#, "no solution"? How do you solve for variable w in the equation #v=lwh#? How do you solve #y-y_1=m(x-x_1)# for m? See all questions in Equations with Variables on Both Sides Impact of this question 1993 views around the world You can reuse this answer Creative Commons License