SOLUTION: 3 - 1/2(1/2x - 4) = 2 The parenthesis are straight lines for absolute value bars. What are the solutions for x?

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Question 196732This question is from textbook Algebra for College Students
: 3 - 1/2(1/2x - 4) = 2 The parenthesis are straight lines for absolute value bars. What are the solutions for x? This question is from textbook Algebra for College Students

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
3 - 1/2 | 1/2 x -4 | =2
.
-1/2 | 1/2 x -4| = 2-3 = -1
.
mult by -2 thru all
.
| 1/2 x -4| = 2
.
(1/2 x -4) = +2,,,,,,,,,,,,,,,,,,(1/2 x -4) = -2
.
1/2 x = 6,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1/2 x = + 2
.
x=12,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,x = 4
.
checking
.
3-1/2|6-4| =2 ,,,,,,,,,,,,,,,,,,,,,3-1/2|2-4| = 2
.
3 - 1/2 (2) =2,,,,,,,,,,,,,,,,,,,,,,,,,,3- 1/2(2) = 2
.
3-1=2=2,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,3-1=2=2,,,,,,,,,,,,,,ok

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