171,461 views
40 votes
40 votes
If 3(x - 1) - x = 3 + 2(x – 3), then x =

a. 0
b. 4
C. No solution
All Real Solutions/Infinite Solutions

User Halie
by
2.0k points

1 Answer

9 votes
9 votes

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.

User Rayrutjes
by
2.5k points
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