SOLUTION: again, solve use words or set notation to identify equations that have no solution or equations that are true for all real numbers 4(x+2)+1=7x-3(x-2) thank you

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Question 679964: again, solve use words or set notation to identify equations that have no solution or equations that are true for all real numbers
4(x+2)+1=7x-3(x-2)
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%28x%2B2%29%2B1=7x-3%28x-2%29 Start with the given equation.


4x%2B8%2B1=7x-3x%2B6 Distribute.


4x%2B9=7x-3x%2B6 Combine like terms on the left side.


4x%2B9=4x%2B6 Combine like terms on the right side.


4x=4x%2B6-9 Subtract 9 from both sides.


4x-4x=6-9 Subtract 4x from both sides.


0x=6-9 Combine like terms on the left side.


0x=-3 Combine like terms on the right side.


0=-3 Simplify.


Since this equation is NEVER true for any x value, this means that there are no solutions.