Question

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

Answer 1

The correct choice is x = –7 or x = 17

Explanation:

See the attached figure

Answer 2

The answer is x = -7 or x = 17

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