Johan found that the equation - 2|8 - x| - 6 = - 12 had two possible solutions: x = 5 and x = - 11. Which explains whether his solutions are correct?

Check his answers ...

-2|8-x| - 6 = - 12 ... when x = 5

-2 | 8-5| - 6 = - 12

-2 (3) - 6 = - 12

-6-6 = - 12

-12 = - 12 (correct)

-2 | 8 - x| - 6 = - 12 ... when x = - 11

-2 | 8 - 11| - 6 = - 12

-2 | - 3| - 6 = - 12

-2 (3) - 6 = - 12 ... (the absolute value of a negative number is positive)

-6-6 = - 12

-12 = - 12 (correct)

He is correct because both solutions satisfy the equation