Question

3=l6-xl
Solve the absolute value equation

Answer 1

x=3 or x=9

Explanation:

3=|6−x|

3=|−x+6|

Step 1: Flip the equation.

|−x+6|=3

Step 2: Solve Absolute Value.

|−x+6|=3

We know either −x+6=3or−x+6=−3

Possibility 1:

−x+6=3

−x+6−6=3−6 (Subtract 6 from both sides)

−x=−3

Divide both sides by -1

x=3

Possibility 2:

−x+6=−3

−x+6−6=−3−6 (Subtract 6 from both sides)

−x=−9

Divide both sides by -1

x=9