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 3840 views around the world You can reuse this answer Creative Commons License