SOLUTION: 2(x+3)+3x = -3(x-2)+8x 1) Conditional 2) Identity 3) Contradiction

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Question 652201: 2(x+3)+3x = -3(x-2)+8x
1) Conditional
2) Identity
3) Contradiction
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%2B3%29%2B3x=-3%28x-2%29%2B8x Start with the given equation.


2x%2B6%2B3x=-3x%2B6%2B8x Distribute.


5x%2B6=-3x%2B6%2B8x Combine like terms on the left side.


5x%2B6=5x%2B6 Combine like terms on the right side.


5x=5x%2B6-6 Subtract 6 from both sides.


5x-5x=6-6 Subtract 5x from both sides.


0x=6-6 Combine like terms on the left side.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.


So the answer is

1) Conditional
2) Identity
3) Contradiction