SOLUTION: Solve for x: 3(x+2)+1 = 2x+7+x Please show work so I can understand :)

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Question 639139: Solve for x: 3(x+2)+1 = 2x+7+x
Please show work so I can understand :)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x%2B2%29%2B1=2x%2B7%2Bx Start with the given equation.


3x%2B6%2B1=2x%2B7%2Bx Distribute.


3x%2B7=2x%2B7%2Bx Combine like terms on the left side.


3x%2B7=3x%2B7 Combine like terms on the right side.


3x=3x%2B7-7 Subtract 7 from both sides.


3x-3x=7-7 Subtract 3x from both sides.


0x=7-7 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.