Question 658150
|x-2|=3x+1
Case 1:
x-2 = 3x+1
2x = -3
x = -3/2
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Check:
|-3/2 - 2| = 3*(-3/2) + 1
|-7/2| = -9/2 + 1 = -7/2
7/2 = -7/2
That doesn't work, reject it.
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Case 2:
-(x-2) = 3x+1
2-x = 3x+1
4x = 1
x = 1/4
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Check:
|1/4 - 2| = 3*(1/4) + 1
|-7/4 | = 7/4
That's ok
x = 1/4