Solve for x: 2|3x - 2| = 14

Solution:

We will find the value of x which satisfies the equation 2|3x - 2| = 14.

Step 1: Divide both sides by 3.

|3x - 2| = 7

As we can see that the equation has an absolute value, we will have two values x.

Step 2: Put equations equal to 7 and - 7 to get the values.

3x - 2 = 7 or 3x - 2 = -7

Step 3: By solving for x, we get

3x = 7 + 2 or 3x = - 7 + 2

3x = 9 or 3x = - 5

x = 3 or x = - 5/ 3

Solve for x: 2|3x - 2| = 14

Summary:

The solution for x are 3 or - 5/3 for the equation 2|3x - 2| = 14.