Yaneev thinks of a number $y.$ He subtracts three from the number, then doubles it. Then he subtracts three again, and doubles the number ag

The answer is 22.

Yaneev thinks of a number  He subtracts three from the number, then doubles it. Then he subtracts three again, and doubles the number again. The result is his original number  What is ?     

Let X represent the original number.  

X  =  {[(X – 3) • 2] – 3} • 2  

Let me see if I can multiply that out without getting lost.  One step at a time.  

X  =  [(2X – 6) – 3] • 2  

X  =  4X – 12 – 6  

3X  =  18  

X  =  6   

check answer:  

6 minus 3 is three.  3 doubled is 6.  6 minus 3 is 3.  3 doubled is 6.  Looks correct.     

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