Question 102132:  we are studying this now so i figured this questions corresponds to it. here it is  
1. pick any number 
2. double it 
3. add 15 
4. add original number 
5. divid by 3 
6. subtract original number 
7. your answer is 5 why is that
 
the teacher wanted the answer inn an algebriac expression this is what i came up with. 
 
x(2)+15+x 
_________ - x =5 
   3
 
3x+15 - x =5 
----- 
  3
 
x+5-x=5 
5=5
 
this is why i did it. i wrote the problem out step by step then once i got the equation, i solved the problem step by step. when i say step by step i did #1 first, #2 second and so on. then i combined liked terms ( the x's) and they cancelled out which makes 5=5 a true statement.
 
but my question is, is this how you do this problem or did i do something wrong. if i did, what was it. please help.  
 Answer by Fombitz(32388)      (Show Source): 
You can  put this solution on YOUR website! No, you did it exactly right. You proved an identity which means that it holds for any x. So no matter what x you start with the answer will always be 5. Keep up the good work.  
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