Question

I need help solving this absolute value equation

3|x-4|=33

Answer 1

Answer: x = 15 or x = -7

Explanation:

Step 1: Divide both sides by 3.

Step 2: Solve Absolute Value.

|x−4|=11 We know either x − 4 = 11 or x − 4 = −11

x−4=11(Possibility 1)

x−4+4=11+4(Add 4 to both sides)

x=15

x−4=−11(Possibility 2)

x−4+4=−11+4(Add 4 to both sides)

x=−7