SOLUTION: I need to indicate whether the equation is an identity or a contradiction and give solution set 3x+7-x=2x+21

Algebra ->  Equations -> SOLUTION: I need to indicate whether the equation is an identity or a contradiction and give solution set 3x+7-x=2x+21      Log On


   

Question 487266: I need to indicate whether the equation is an identity or a contradiction and give solution set 3x+7-x=2x+21
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B7-x=2x%2B21 Start with the given equation.


2x%2B7=2x%2B21 Combine like terms on the left side.


2x=2x%2B21-7 Subtract 7 from both sides.


2x-2x=21-7 Subtract 2x from both sides.


0x=21-7 Combine like terms on the left side.


0x=14 Combine like terms on the right side.


0=14 Simplify.


Since this equation is NEVER true for any x value.


So there are no solutions.


Therefore, this equation is a contradiction.