SOLUTION: 5(2x-1)+x+17=5x+6(x+2)

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Question 908847: 5(2x-1)+x+17=5x+6(x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%282x-1%29%2Bx%2B17=5x%2B6%28x%2B2%29 Start with the given equation.


10x-5%2Bx%2B17=5x%2B6x%2B12 Distribute.


12%2B11x=5x%2B6x%2B12 Combine like terms on the left side.


12%2B11x=12%2B11x Combine like terms on the right side.


11x=12%2B11x-12 Subtract 12 from both sides.


11x-11x=12-12 Subtract 11x from both sides.


0x=12-12 Combine like terms on the left side.


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


0=0 Simplify.


Since this last equation 0=0 is ALWAYS true for any x value, this means x can equal any number.

So there are an infinite number of solutions.

The solution set is the set of all real numbers.