Question 413908
Hi
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1. The number must be found.
2. The unknown is x.
3. 1/3x = (1/2)x - 5  | 5 less than half of the same number
4.   2x = 3x - 30
     30 = x
5. (1/3)30 = 10 =  (1/2)30 - 5 

What has been demonstrated here is that 'checking Your answer' is of
no avail, if the question has been algebraically Set-Up incorrectly.
Good work, in general, however.  You will be fine, just be very heads up 
on the Set Up.