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|2x-3|=7

 Sep 7, 2016
 #1
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Solve for x over the real numbers:
abs(3-2 x) = 7

Split the equation into two possible cases:
3-2 x = 7 or 3-2 x = -7

Subtract 3 from both sides:
-2 x = 4 or 3-2 x = -7

Divide both sides by -2:
x = -2 or 3-2 x = -7

Subtract 3 from both sides:
x = -2 or -2 x = -10

Divide both sides by -2:
Answer: |x = -2                or                      x = 5

 Sep 7, 2016
 #2
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x = 5 because 2 * 5 - 3 = 10 - 3 = 7

 Sep 7, 2016
 #3
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i need halp

 Sep 7, 2016

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