Question

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

Answer 1

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