SOLUTION: Solve 3(x-4)+x=2(6+2x)

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Question 666661: Solve 3(x-4)+x=2(6+2x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%28x-4%29%2Bx=2%286%2B2x%29 Start with the given equation.


3x-12%2Bx=12%2B4x Distribute.


4x-12=12%2B4x Combine like terms on the left side.


4x=12%2B4x%2B12 Add 12 to both sides.


4x-4x=12%2B12 Subtract 4x from both sides.


0x=12%2B12 Combine like terms on the left side.


0x=24 Combine like terms on the right side.


0=24 Simplify.


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