SOLUTION: 5(x-4)+x=6(x-2)-8

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Question 613348: 5(x-4)+x=6(x-2)-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x-4%29%2Bx=6%28x-2%29-8 Start with the given equation.


5x-20%2Bx=6x-12-8 Distribute.


6x-20=6x-12-8 Combine like terms on the left side.


6x-20=6x-20 Combine like terms on the right side.


6x=6x-20%2B20 Add 20 to both sides.


6x-6x=-20%2B20 Subtract 6x from both sides.


0x=-20%2B20 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.