Question

If 3(x - 1) - x = 3 + 2(x – 3), then x =
a. 0
b. 4
C. No solution
All Real Solutions/Infinite Solutions

Answer 1

Hi there!  

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I believe your answer is:  

All Real Solutions/Infinite Solutions

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Here’s why:  

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$3(x-1)-x=3+2(x-3)\\--------------\\\rightarrow 3x - 3 - x = 3 + 2x - 6\\\\\rightarrow 2x - 3 = 3 + 2x - 6\\\\\rightarrow -3 = 3 - 6\\\\\rightarrow \boxed{-3 = -3}$

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This is an identity; there are infinitely many solutions.  

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Hope this helps you. I apologize if it’s incorrect.