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3|2x-3|=3

 Oct 28, 2015
 #1
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3|2x-3|=3

 

Solve for x over the integers:
3 abs(2 x-3) = 3

Divide both sides by 3:
abs(2 x-3) = 1

Split the equation into two possible cases:
2 x-3 = 1 or 2 x-3 = -1

Add 4 to both sides:
2 x = 4 or 2 x-3 = -1

Divide both sides by 2:
x = 2 or 2 x-3 = -1

Add 2 to both sides:
x = 2 or 2 x = 2

Divide both sides by 2:
Answer: | 
| x = 2 or x = 1

 Oct 28, 2015

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