SOLUTION: please help me solve this equation :) abs(x+3) = abs(2x+1)

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Question 263439: please help me solve this equation :)
abs(x+3) = abs(2x+1)

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the original question
abs%28x%2B3%29+=+abs%282x%2B1%29
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this will be a bit tricky in that that we have 3 equations to solve.
equation #1:
x+3 = 2x+1
step 1 - subtract x and subtract 1 to get
2 = x
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equation #2:
x+3 = -(2x+1)
step 1 - distribute the - through to get
x+3 = -2x -1
step 2 - add 2x and subtract 3 to get
3x = -4
step 3 - divide to get
x = -4/3
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equation #3:
2x+1 = -(x+3)
step 1 - distribute the - through to get
2x + 1 = -x -3
step 2 - add x and subtract 1 to get
3x = -4
step 3 - divide to get
x = -4/3
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so it appears that our answers are
x = -4/3, 2
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here are the graphs
+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+10%2C+abs%28x%2B3%29%2C+abs%282x%2B1%29%29+