SOLUTION: Solve. 3/4|8t-12|=6(t-1)

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Question 1094124: Solve.
3/4|8t-12|=6(t-1)

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
expr%283%2F4%29abs%288t-12%29%22%22=%22%226%28t-1%29

Multiply both sides by 4 to clear the fraction:

3abs%288t-12%29%22%22=%22%2224%28t-1%29

Divide both sides by 3 to isolate the absolute value

abs%288t-12%29%22%22=%22%228%28t-1%29

Make two equations without the absolute value bars,
one with the right sides as it is and one with the
right side with the opposite sign:

8t-12%22%22=%22%22%22%22%2B8%28t-1%29 OR 8t-12%22%22=%22%22-8%28t-1%29
 
8t-12%22%22=%22%228t-8    OR 8t-12%22%22=%22%22-8t%2B8

  -12%22%22=%22%22-8      OR   16t%22%22=%22%2220

The left equation is false, so  t%22%22=%22%2220%2F16 

That reduces to t%22%22=%22%225%2F4, so there is just one
solution since the left equation turned out to be false.  

Edwin