SOLUTION: 4(3x+2)=12x+8 solve this linear equation

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Question 789090: 4(3x+2)=12x+8
solve this linear equation
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%283x%2B2%29=12x%2B8 Start with the given equation.


12x%2B8=12x%2B8 Distribute.


12x=12x%2B8-8 Subtract 8 from both sides.


12x-12x=8-8 Subtract 12x from both sides.


0x=8-8 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.