What is the solution of 4|x-3|-8=8

Step-by-step explanation:

Let's solve your equation step-by-step.

4 (|x-3|) - 8=8

Step 1: Add 8 to both sides.

4 (|x-3|) - 8+8=8+8

4 (|x-3|) = 16

Step 2: Divide both sides by 4.

4 (|x-3|)

4

=

16

4

|x-3|=4

Step 3: Solve Absolute Value.

|x-3|=4

We know eitherx-3=4orx-3=-4

x-3=4 (Possibility 1)

x-3+3=4+3 (Add 3 to both sides)

x=7

x-3=-4 (Possibility 2)

x-3+3=-4+3 (Add 3 to both sides)

x=-1

Answer:

x=7 or x=-1