Ответ:

4

Пошаговое объяснение:

|2х - 4| = 6

1)

2х - 4 = -6

2х = -6 + 4

2х = -2

х = -2 : 2

х1 = -1

2)

2х - 4 = 6

2х = 6 + 4

2х = 10

х = 10 : 2

х2 = 5

х1 + х2 = -1 + 5 = 4

[tex] |2x - 4| = 6 \\ 1) \: 2x - 4 = 6 \\ 2x = 6 + 4 \\ 2x = 10 \\ x = 10 \div 2 \\ x _{1}= 5 \\ 2) \: 2x - 4 = - 6 \\ 2x = - 6 + 4 \\ 2x = 2 \\ x = - 2 \div 2 \\ x_{2} = - 1 \\ \\ x_{1}+x_{2}=5-1=4[/tex]