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

Solution:

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

Step 1: Subtract 2 from both sides.

3|x - 3| = 12

Step 2: Divide both sides by 3.

|x - 3| = 4

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

Step 3: Put equations equal to 4 and - 4 to get the values.

x - 3 = 4 or x = 3 = - 4

Step 4: By solving for x, we get

x = 4 + 3 or x = - 4 + 3

x = 7 or x = - 1

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

Summary:

The solution for x are 7 or - 1 for the equation 3|x - 3| + 2 = 14.