SOLUTION: 2x+4-6x=6-(4x+2)

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Question 711011: 2x+4-6x=6-(4x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B4-6x=6-%284x%2B2%29 Start with the given equation.


2x%2B4-6x=6-4x-2 Distribute.


-4x%2B4=6-4x-2 Combine like terms on the left side.


-4x%2B4=-4x%2B4 Combine like terms on the right side.


-4x=-4x%2B4-4 Subtract 4 from both sides.


-4x%2B4x=4-4 Add 4x to both sides.


0x=4-4 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.