Word problems make me crazy: 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? Use x for the variable.

Question

Word problems make me crazy:  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?  Use x for the variable.

anonymous · Answer

2(4 + 2x) = 3x + 4

anonymous · Answer

Then solve for x

anonymous · Answer

2(4 + 2x) = 4 + 3x

anonymous · Answer

when I solve for x I get -4, but when I check I get -12 = -8  what am i doing wrong?

anonymous · Answer

lets see
2(4 + 2x) = 4 + 3x
8 + 4x = 4 + 3x
8 + x = 4
x = -4
back to original, 4 is added to twice (-4)
4 - 8 = -4
then the sum is multiplied by 2 
-4 x 2 = -8
4 + 3(-4) = -8

anonymous · Answer

took a minute for me to understand how it worked out, but I got it.   Thank you for your help mridrik.

anonymous · Answer

OH! Almost forgot.  Thank you for your help wombat.

anonymous · Answer

Haha yay im not forgottten! :D jk XD
anytime!