SOLUTION: 3-1/2|1/2x-4|=2 \ \

Algebra ->  Absolute-value -> SOLUTION: 3-1/2|1/2x-4|=2 \ \      Log On


   

Question 117585: 3-1/2|1/2x-4|=2









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Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3-1%2F2%7C2x-4%7C=2…we will have 3-1%2F2%282x-4%29+=2…and 3-1%2F2%28-%282x-4%29%29+=2…
3-1%2F2%282x-4%29+=2……… multiply both sides by 2
3%2A2-1%2A2%2F2%282x-4%29+=2%2A2………
6-%282x-4%29+=+4………
-2x+%2B+4=+4+-+6…
-2x+=+4+%96+6+-+4…

-2x+=+-6……divide both sides by -2
x+=+3……….first solution


3-1%2F2%28-%282x-4%29%29+=2
3-1%2F2%28-2x+%2B+4%29+=2…….. multiply both sides by 2

3%2A2-1%2A2%2F2%28-2x+%2B+4%29+=2%2A2………
6-%28-2x+%2B+4%29+=+4………

6+%2B+2x+-+4=+4………
2x+=+4+%2B+4+-+6………
2x+=+2……… divide both sides by 2
x+=+1