himpunan penyelesaian dari persamaan 2 |2x -4| -6 = 10 adalah? mohon bantuannya:)

Kelas 10 Matematika
Bab Nilai Mutlak

2 |2x - 4| - 6 = 10
2 |2x - 4| = 10 + 6
|2x - 4| = 16/2
|2x - 4| = 8

2x - 4 = 8
2x = 8 + 4
x = 12/2
x = 6

2x - 4 = -8
2x = -8 + 4
x = -4/2
x = -2

HP = { -2, 6 }

2|2x - 4| - 6 = 10

*2(2x-4) - 6 = 10
4x -8 - 6 = 10
4x - 14 = 10
4x = 10 + 14
x = 24 / 4
x = 6

*(2) -(2x-4) - 6 = 10
2 (-2x+4) - 6 = 10
-4x + 8 - 6 = 10
-4x + 2 = 10
-4x = 10-2
x = 8/-4
x = -2


Sehingga HP (Himpunan Penyelesaian) nya adalah = HP{-2 , 6}