SOLUTION: please solve algebraically for x: square root (3x+1)+1=x

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Question 389874: please solve algebraically for x:
square root (3x+1)+1=x
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x%2B1%29%2B1=x,
==> sqrt%283x%2B1%29+=+x+-+1,
==> 3x%2B1+=+x%5E2+-+2x+%2B+1,after squaring both sides.
==> 0+=+x%5E2+-+5x, or x(x - 5) = 0.
==> x = 0 or x = 5. The 1st x-value will not satisfy the original equation, and the 2nd x-value does. Therefore final answer is x = 5.