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souloution for

 

–4|–2x + 6| = –24

 May 7, 2017
 #1
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Solve for x over the real numbers:
abs(6 - 2 x) = 6

Split the equation into two possible cases:
6 - 2 x = 6 or 6 - 2 x = -6

Subtract 6 from both sides:
-2 x = 0 or 6 - 2 x = -6

Divide both sides by -2:
x = 0 or 6 - 2 x = -6

Subtract 6 from both sides:
x = 0 or -2 x = -12

Divide both sides by -2:
Answer: | x = 0        or        x = 6

 May 7, 2017

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