SOLUTION: how to solve 9x-12=9x+3 and how to solve 2x+3=3x-7

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Question 674102: how to solve 9x-12=9x+3 and how to solve 2x+3=3x-7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9x-12=9x%2B3 Start with the given equation.


9x=9x%2B3%2B12 Add 12 to both sides.


9x-9x=3%2B12 Subtract 9x from both sides.


0x=3%2B12 Combine like terms on the left side.


0x=15 Combine like terms on the right side.


0=15 Simplify.


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


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2x%2B3=3x-7 Start with the given equation.


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


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


-x=-7-3 Combine like terms on the left side.


-x=-10 Combine like terms on the right side.


x=%28-10%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=10 Reduce.


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Answer:

So the solution is x=10