Answer: x = -2/3
Explanation:
Bring everything over to the other side that is not in the absolute value, then make a positive and negative version. You must check your answers.
|3x+2|+3x+2=0 >Subtract 2 from both sides
|3x+2|+3x = -2 >Subtract 3x from both sides
|3x+2| = -3x-2 > Now make 2 equations, one with a + on
right side and other with negative on right
side Then you can drop your absolute
value sign
Positive:
3x+2 = -3x-2 > Now solve for x by bringing like terms to each
side
6x = -4
x = -4/6 >Reduce by dividing top and bottom by 2
x = -2/3
Plug back in to make sure it's a viable solution.
|3x+2|+3x+2=0
|3(-2/3)+2|+3(-2/3)+2=0
|-2 +2| - 2 +2 = 0
0 = 0 so yes x = -2/3 is a solution
Negative:
3x+2 = -(-3x-2)
3x+2 = 3x+2
0 = 0 The x cancels out so there is no solution from the negative version. So there is only 1 solution.