SOLUTION: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?      Log On


   

Question 121284: If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(4+2x)*2=3x+4
8+4x=3x+4
4x-3x=4-8
x=-4 answer.
proof
(4+2*-4)*2=3*-4+4
(4-8)*2=-12+4
-4*2=--8
-8=-8