Question

2|3x-2|=14 absolute value help

Answer 1

Answer:

x=3

Step-by-step explanation:

The Absolute Value term is 2|3x-2|

For the Negative case we'll use -2(3x-2)

For the Positive case we'll use 2(3x-2)

2(3x-2) = 14

    Multiply

     -6x+4 = 14

    Rearrange and Add up

     -6x = 10

    Divide both sides by 6

     -x = (5/3)

    Multiply both sides by (-1)

     x = -(5/3)

    Which is the solution for the Negative Case

2(3x-2) = 14

    Multiply

     6x-4 = 14

    Rearrange and Add up

     6x = 18

    Divide both sides by 6

     x = 3

    Which is the solution for the Positive Case

x=-5/3

x=3