Verified answer

[tex]x - 5 = \frac{1}{2} x + \frac{1}{2} \\ x - \frac{1}{2} x = \frac{1}{2} + 5 \\ \frac{1}{2} x = 5 \frac{1}{2} \\ x = 5 \frac{1}{2} \div \frac{1}{2} \\ x = \frac{11 \times 2}{2} \\ x = 11[/tex]

[tex] \frac{3x + 1}{4} - \frac{x}{6} = \frac{1 - x}{8} \: \: \: | \times 24 \\ 6(3x + 1) - 4x = 3(1 - x) \\ 18x + 6 - 4x = 3 - 3x \\ 14x + 3x = 3 - 6\\ 17x = - 3 \\ x = - \frac{3}{17} [/tex]

[tex] \frac{2 - x}{5} + 2 = \frac{3 + 2x}{2} \: \: | \times 10 \\ 2(2 - x) + 20 = 5(3 + 2x) \\ 4 - 2x + 20 = 15 + 10x \\ 10x + 2x = 24 - 15 \\ 12x = 9 \\ x = \frac{9}{12} \\ x = \frac{3}{4} \\ x = 0.75[/tex]

Пошаговое объяснение:

х - 5 = 1/2х + 1/2

х - 1/2х = 1/2 + 5

1/2х = 5 1/2

1/2х = 11/2

х = 11/2 : 1/2

х = 11/2 * 2/1

х = 11/1 * 1/1

х = 11/1

х = 11

(3х + 1)/4 - х/6 = (1 - х)/8 | * 24

6(3х + 1) - 4х = 3(1 - х)

18х + 6 - 4х = 3 - 3х

14х + 6 = 3 - 3х

14х + 3х = 3 - 6

17х = -3

х = -3 : 17

х = -3/17

(2 - х)/5 + 2 = (3 + 2х)/2 | * 10

2(2 - х) + 20 = 5(3 + 2х)

4 - 2х + 20 = 15 + 10х

-2х + 24 = 15 + 10х

-2х - 10х = 15 - 24

-12х = -9

х = -9 : (-12)

х = 9/12

х = 3/4