SOLUTION: How do you find all Real Solutions for this equation? |3x+5| = 1-x

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Question 917168: How do you find all Real Solutions for this equation?
|3x+5| = 1-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
|3x+5| = 1-x

3x+5 = (1-x) or 3x+5 = -(1-x)

3x+5 = 1-x or 3x+5 = -1+x

3x = 1-x-5 or 3x = -1+x-5

3x+x = 1-5 or 3x-x = -1-5

4x = -4 or 2x = -6

x = -4/4 or x = -6/2

x = -1 or x = -3

The two solutions are x = -1 or x = -3


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Thanks,

Jim