Question

Solve the absolute value equation.
|x−2| – 7 = –3

Answer 1

Answer: x =6 or x =-2

Explanation:

|x−2|−7=−3

Step 1: Add 7 to both sides.|x−2|−7+7=−3+7|x−2|=4

Step 2: Solve Absolute Value.|x−2|=4 We know either x−2=4orx−2=−4x−2=4(Possibility 1)x−2+2=4+2(Add 2 to both sides)

x=6

and for other

x−2=−4(Possibility 2)x−2+2=−4+2(Add 2 to both sides)x = -2