SOLUTION: solve the equation: 2(x+5)-7=3(x-2) thanks a lot

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Question 51605: solve the equation:
2(x+5)-7=3(x-2)
thanks a lot
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
Using order of operations, we expand the equation to 2x%2B10-7=3x-6, which simplifies to 2x%2B3=3x-6. Adding 6 to both sides produces 2x%2B3%2B6=3x-6%2B6, which simplifies to 2x%2B9=3x. Now subtract 2x from both sides: 2x%2B9-2x=3x-2x, which simplifies to 9=x. To check it, substitute 9 in for x in the original equation: 2%289%2B5%29-7=3%289-2%29, which simplifies to 2%2A14-7=3%2A7 and that further reduces to 28-7=21, and finally 21=21, which is a true statement. Because that is a true statement, that means our answer of x=9 is correct.