|x−2|+5=9
please help

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

x = 6 or x = −2

it has to have an angle of 90 degrees