Question #6ef2d Algebra Linear Equations Equations with Variables on Both Sides 1 Answer Tamir E. Nov 19, 2017 #x=2# Explanation: #3x=xsum_(n=1)^2n# #2x=xprod_(n=1)^2n# #=># #3x-2x=xsum_(n=1)^2n-xprod_(n=1)^2n=x(sum_(n=1)^2n-prod_(n=1)^2n)=x# #1+1=2# #=># #3x-1=2x+1# #=> 3x-2x=1+1# #=> x=2# 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 1398 views around the world You can reuse this answer Creative Commons License