Question 32769
Since |3x+2| is 14, the 3x+2 must be either 14 or -14
So you have two equations to solve:
1st: 3x+2=14
     3x=12
      x=4
2nd: 3x+2=-14
     3x=-12
      x=-4
So x=4 or x=-4
Cheers,
Stan H.