SOLUTION: solve the equation. if it is an identity (all real numbers) or a contradiction (no solution),so state 5x+6+6x=10x+6+x

Algebra ->  Equations -> SOLUTION: solve the equation. if it is an identity (all real numbers) or a contradiction (no solution),so state 5x+6+6x=10x+6+x      Log On


   

Question 553781: solve the equation. if it is an identity (all real numbers) or a contradiction (no solution),so state
5x+6+6x=10x+6+x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B6%2B6x=10x%2B6%2Bx Start with the given equation.


11x%2B6=10x%2B6%2Bx Combine like terms on the left side.


11x%2B6=11x%2B6 Combine like terms on the right side.


11x=11x%2B6-6 Subtract 6 from both sides.


11x-11x=6-6 Subtract 11x 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 equation is an identity.


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