SOLUTION: I need help with this linar equation. Thanks Determine if the following is an identity or contradiction. 4(x+3)-5=4x+17

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Question 681194: I need help with this linar equation. Thanks
Determine if the following is an identity or contradiction.
4(x+3)-5=4x+17
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Determine if the following is an identity or contradiction.
4(x+3)-5=4x+17

If in solving the equation the variables (x's) are eliminated and the statement is true then it's an identity, if it's false it's a contradiction.
4%28x%2B3%29-5=4x%2B17
4x%2B12-5=4x%2B17
4x%2B7=4x%2B17
-4x%2B4x%2B7=-4x%2B4x%2B17
7=17
The x's were eliminated and the statement is false, so this is a contradiction.
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What if...instead...you had:
4(x+3)-5=4x+7
This would be an Identity....
4x%2B12-5=4x%2B7
4x%2B7=4x%2B7
Right here you can see both side are the same and this is an identity, but if you tried to get the x's on the same side you get.
-4x%2B4x%2B7=-4x%2B4x%2B7
7=7
The x's were eliminated and the statement is true, so this is an identity.
Hope that helped. Happy Calculating!!!