Answer:
x = 6 or x = -2
Explanation:
|x − 2| + 5 = 9
[ Step 1: Add -5 to both sides ]
|x − 2| + 5 + −5 = 9 + −5
|x − 2| = 4
[ Step 2: Solve Absolute Value ]
|x − 2| = 4
Either x − 2 = 4 or x − 2 = −4
x − 2 = 4 [ Possibility 1 ]
x − 2 + 2 = 4 + 2 [ Add 2 to both sides ]
x = 6
x − 2 = −4 [ Possibility 2 ]
x − 2 + 2 = −4 + 2 [ Add 2 to both sides ]
x = −2
Answer:
x = 6 or x = −2
