SOLUTION: Can you help me solve by using square roots {{{(3x-5)^2 =(2x+9)^2}}}?

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Question 212542: Can you help me solve by using square roots %283x-5%29%5E2%0D%0A=%282x%2B9%29%5E2?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
%283x-5%29%5E2+=+%282x%2B9%29%5E2
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take the square root of both sides of this equation to get:
sqrt%28%283x-5%29%5E2%29+=+sqrt%28%282x%2B9%29%5E2%29 to get:
3x-5 = 2x+9
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subtract 2x and add 5 from both sides of this equation to get:
3x - 2x = 9 + 5
combine like terms to get:
x = 14
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substitute in original equation of:
%283x-5%29%5E2+=+%282x%2B9%29%5E2 to get:
%283%2A%2814%29-5%29%5E2+=+%282%2A%2814%29%2B9%29%5E2 which becomes:
%2842-5%29%5E2+=+%2828%2B9%29%5E2 which becomes:
%2837%29%5E2+=+%2837%29%5E2 confirming that x = 14 is a good answer.
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answer is:
x = 14