SOLUTION: I need to know if this is identity or contradication? 2q - 3 ( q - 5 ) = 5 ( q + 2 ) - 7

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Question 778151: I need to know if this is identity or contradication?
2q - 3 ( q - 5 ) = 5 ( q + 2 ) - 7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2q-3%28q-5%29=5%28q%2B2%29-7 Start with the given equation.


2q-3q%2B15=5q%2B10-7 Distribute.


-q%2B15=5q%2B10-7 Combine like terms on the left side.


-q%2B15=5q%2B3 Combine like terms on the right side.


-q=5q%2B3-15 Subtract 15 from both sides.


-q-5q=3-15 Subtract 5q from both sides.


-6q=3-15 Combine like terms on the left side.


-6q=-12 Combine like terms on the right side.


q=%28-12%29%2F%28-6%29 Divide both sides by -6 to isolate q.


q=2 Reduce.


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Answer:

So the solution is q=2

Since there is exactly one solution, this means that this is neither an identity nor a contradiction.