Б. Решите уравнения.
а) 14 + х = 2
b) 2x + х - 16 = 2
c) 8 - 17x = 25
d) 5 - х = 20 + 2х
е) x + 21 = 3 - 5x
f) 17x - 3 + х = 12 - 2х + 5
g) 2 (х – 12) = 210 – 7х
h) (5х – 1) 2 - 2x – 3 = 35 - 3 (2х + 4)​

Ответ:

a) 14 + x = 2

x = 2 - 14

x = -12

b) 2x + x - 16 = 2

3x = 2 + 16

3x = 18

x = 18 : 3

x = 6

c) 8 - 17x = 25

-17x = 25 - 8

-17x = 17

x = 17 : (-17)

x = -1

d) 5 - x = 20 + 2x

-x -2x = 20 - 5

-3x = 15

x = 15 : (-3)

x = -5

e) x + 21 = 3 - 5x

x + 5x = 3 - 21

6x = -18

x = -18 : 6

x = -3

f) 17x - 3 + x = 12 - 2x + 5

17x + x + 2x = 3 + 12 + 5

20x = 20

x = 20 : 20

x = 1

g) 2(x - 12) = 210 - 7x

2 · x + 2 · (-12) = 210 - 7x

2x - 24 = 210 - 7x

2x + 7x = 210 + 24

9x = 234

x = 234 : 9

x = 26

h) (5x - 1)2 - 2x - 3 = 35 - 3(2x + 4)

5x · 2 - 1 · 2 - 2x - 3 = 35 - 3 · 2x -3 · 4

10x -2 - 2x - 3 = 35 - 6x - 12

10x - 2x + 6x = 2 + 3 + 35 - 12

14x = 28

x = 28 : 14

x = 2