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?

He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5.

Question

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?

He is correct because both solutions satisfy the equation.
He is not correct because he made a sign error.
He is not correct because there are no solutions.
He is not correct because there is only one solution: x = 5.

dtan5457 · Answer

He is not correct.

dtan5457 · Answer

$$\frac{ -2\left| 8-x \right|=6 }{ -2 }$$

Divide by -2.
$$\left| 8-x \right|=3$$

dtan5457 · Answer

Now since it is absolute value, this can equal

8-x=3

8-x=-3

x=5,11

dtan5457 · Answer

He put 5,-11, which is wrong