Twice the sum of a number and 2 is equal to three times the difference of the number and 8. find the number please help

Answer:   28Step-by-step explanation:Let n represent the number.Twice the sum of the number and 2 is ...   2(n +2)Three times the difference of the number and 8 is ...   3(n -8)The problem statement tells us these quantities are equal, so ...   2(n +2) = 3(n -8) . . . . the given quantities are equal   2n +4 = 3n -24 . . . . . use the distributive property to eliminate parentheses   2n +28 = 3n . . . . . . . add 24   28 = n . . . . . . . . . . . . subtract 2nThe number is 28._____CheckThe sum of the number and 2 is 30; twice that is 60.The difference of the number and 8 is 20; three times that is 60--the same number.