SOLUTION: solve the equation. If it is an identity(all real numbers) or a contradiction(no solution), so state. 6x+2+3x= 10x +2-x

Algebra ->  Equations -> SOLUTION: solve the equation. If it is an identity(all real numbers) or a contradiction(no solution), so state. 6x+2+3x= 10x +2-x       Log On


   

Question 527037: solve the equation. If it is an identity(all real numbers) or a contradiction(no solution), so state.
6x+2+3x= 10x +2-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x%2B2%2B3x=10x%2B2-x Start with the given equation.


9x%2B2=10x%2B2-x Combine like terms on the left side.


9x%2B2=9x%2B2 Combine like terms on the right side.


9x=9x%2B2-2 Subtract 2 from both sides.


9x-9x=2-2 Subtract 9x from both sides.


0x=2-2 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.


This means that this equation is an identity.


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Jim