SOLUTION: 4(x+3)-3(3x+9)=11x-16x-15

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Question 550661: 4(x+3)-3(3x+9)=11x-16x-15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%28x%2B3%29-3%283x%2B9%29=11x-16x-15 Start with the given equation.


4x%2B12-9x-27=11x-16x-15 Distribute.


-5x-15=11x-16x-15 Combine like terms on the left side.


-5x-15=-5x-15 Combine like terms on the right side.


-5x=-5x-15%2B15 Add 15 to both sides.


-5x%2B5x=-15%2B15 Add 5x to both sides.


0x=-15%2B15 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.