|2x-1|=|x+4| berikut cara

|2x - 1|=|x + 4|
(2x - 1)²=(x + 4)²
4x² - 4x + 1 = x² + 8x + 16
3x² - 12x - 15 = 0
x² - 4x - 5 = 0
(x - 5)(x + 1) = 0
x = -1   atau  x = 5

Jadi HP : {-1,5}