SOLUTION: 3|4x+1|-4=2

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Question 990842: 3|4x+1|-4=2
Answer by ikleyn(52794) About Me  (Show Source):
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Solve the equation   3|4x+1|-4=2.
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Re-write it as   |4x+1| = %282+%2B+4%29%2F3 = 2.

If  |4x+1| >= 0,  then |4x+1| = 4x+1,  and the equation takes the form

4x+1 = 2.

Solve it:

4x = 2-1,   4x = 1,   x = 1%2F4.


If  |4x+1| < 0,  then |4x+1| = -(4x+1),  and the equation takes the form

-4x-1 = 2.

Solve it:

-4x = 2+1,   4x = -3,   x = -3%2F4.

Check yourself that both solutions are correct.

Answer.  x = 1%2F4  and  x = -3%2F4.