SOLUTION: two-thirds of a number is decreased by 3 is 2 more than half the number. Find the number.

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Question 368033: two-thirds of a number is decreased by 3 is 2 more than half the number. Find the number.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2/3X-3=X/2+2
2X/3-3=X/2+2
2X/3-X/2=2+3
(2*2X-3X)/3*2=5
(4X-3X)/6=5
X/6=5
X=5*6
X=30 ANS.
PROOF:
(2/3)30-3=30/2+2
60/3-3=15+2
20-3=17
17=17