SOLUTION: what is 5x-8-3x=2(x-4)

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Question 513582: what is 5x-8-3x=2(x-4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x-8-3x=2%28x-4%29 Start with the given equation.


5x-8-3x=2x-8 Distribute.


2x-8=2x-8 Combine like terms on the left side.


2x=2x-8%2B8 Add 8 to both sides.


2x-2x=-8%2B8 Subtract 2x from both sides.


0x=-8%2B8 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.