SOLUTION: x-6(3-x)=7(3+x)

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Question 459175: x-6(3-x)=7(3+x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-6%283-x%29=7%283%2Bx%29 Start with the given equation.


x-18%2B6x=21%2B7x Distribute.


7x-18=21%2B7x Combine like terms on the left side.


7x=21%2B7x%2B18 Add 18 to both sides.


7x-7x=21%2B18 Subtract 7x from both sides.


0x=21%2B18 Combine like terms on the left side.


0x=39 Combine like terms on the right side.


0=39 Simplify.


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