How do you solve #2x+9=2x-9#? Algebra Linear Equations Equations with Variables on Both Sides 1 Answer smendyka Nov 26, 2016 The null set or #x = {O/}# Explanation: First, subtract #9# from each side of the equation: #2x + 9 - 9 = 2x - 9 - 9# #2x + 0 = 2x - 18# #2x = 2x - 18# Next, subtract #2x# from each side: #2x - 2x = 2x - 18 - 2x# #0 = 0 - 18# #0 = 18# Because #0# does not equal #18# the solution to this problem is the null set or #x = O/# 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 3429 views around the world You can reuse this answer Creative Commons License