What is the solution of |x - 5| - 2 = 10?

x = - 7 or x = 17

x = - 12 or x = 12

x = - 17 or x = 7

x = - 17 or x = 17

The answer is x = - 7 or x = 17

Step-by-step explanation:

∵ (x - 5) - 2 = 10

∴ x - 5 - 2 = 10

∴ x - 7 = 10

∴ x = 10 + 7 = 17

OR

∵ - (x - 5) - 2 = 10

∴ (-x + 5) - 2 = 10

∴ - x + 5 - 2 = 10

∴ - x + 3 = 10

∴ - x = 10 - 3 = 7

∴ x = - 7

∴ The solution is - 7 and 17 ⇒ the first answer