|5x-1|=|2+3x| tolong jawab yah kak,,tolong caranya dijelasin plisss

Bab Nilai Mutlak
Matematika SMA kelas X

|5x - 1| = |2 + 3x|

5x - 1 = 2 + 3x
5x - 3x = 2 + 1
2x = 3
x = 3/2

5x - 1 = - 2 - 3x
5x + 3x = - 2 + 1
8x = -1
x = -1/8

HP = { -1/8, 3/2 }

|5x - 1| = |2 + 3x| =====> kedua ruas dikuadratkan
(5x - 1)^2 = (2 + 3x)^2
25x^2 - 10x + 1 = 4 + 12x + 9x^2
16x^2 - 22x - 3 = 0
(2x - 3)(8x + 1) = 0
x = 3/2 atau x = -1/8
HP = {-1/8, 3/2)}