Question

2x = 18 - x; 7x + 3 = 30 - 2x;7 - 2x = 3x - 18;3x +15= -x +10.3(x - 2) = x + 2;15-2(x - 1) = 4 - x;(7x + 1) - (9x + 3) = 5;= 4x +4(5x + 2) = 10(2x - 3) + 15;2(7x-7)= 7(2r - 3) + 7.​

Answer 1

Ответ:

Пошаговое объяснение:

2x = 18 - x;

2х + х = 18

3х = 18

х = 18 : 3

х = 6

7x + 3 = 30 - 2x;

7х + 2х = 30 - 3

9х = 27

х = 27 : 9

х = 3

7 - 2x = 3x - 18;

3х + 2х = 7 + 18

5х = 25

х = 25 : 5

х = 5

3x +15= -x +10.

3х + х = 10 - 15

4х = -5

х = -5 : 4

х = -1,25

3(x - 2) = x + 2;

3х - 6 = х + 2

3х - х = 2 + 6

2х = 8

х = 8 : 2

х = 4

15-2(x - 1) = 4 - x;

15 - 2х + 2 = 4 - х

2х - х = 15 + 2 - 4

х = 13

(7x + 1) - (9x + 3) = 5;

7х + 1 - 9х - 3 = 5

9х - 7х = 1 - 3 - 5

2х = -7

х = -7 : 2

х = -3,5

4(5x + 2) = 10(2x - 3) + 15;

20х + 8 = 20х - 30 + 15

20х - 20х = 30 - 15 + 8

0 = 23 - не верно

нет решений

2(7x-7)= 7(2х - 3) + 7.​

14х - 14 = 14х - 21 + 7

14х - 14х = 14 + 7 - 21

0 = 0 - верно

x ∈ R

Answer 2

Let's solve each equation step by step:

1. 2x = 18 - x

   Add x to both sides:

   2x + x = 18

   Combine like terms:

   3x = 18

   Divide both sides by 3 to solve for x:

   x = 18 / 3

   x = 6

2. 7x + 3 = 30 - 2x

   Add 2x to both sides:

   7x + 2x + 3 = 30

   Combine like terms:

   9x + 3 = 30

   Subtract 3 from both sides:

   9x = 30 - 3

   9x = 27

   Divide both sides by 9 to solve for x:

   x = 27 / 9

   x = 3

3. 7 - 2x = 3x - 18

   Add 2x to both sides:

   7 - 2x + 2x = 3x - 18 + 2x

   7 = 5x - 18

   Add 18 to both sides:

   7 + 18 = 5x

   25 = 5x

   Divide both sides by 5 to solve for x:

   x = 25 / 5

   x = 5

4. 3x + 15 = -x + 10

   Add x to both sides:

   3x + x + 15 = 10

   Combine like terms:

   4x + 15 = 10

   Subtract 15 from both sides:

   4x = 10 - 15

   4x = -5

   Divide both sides by 4 to solve for x:

   x = -5 / 4

   x = -1.25

5. 3(x - 2) = x + 2

   Distribute the 3 on the left side:

   3x - 6 = x + 2

   Subtract x from both sides:

   3x - x - 6 = 2

   Combine like terms:

   2x - 6 = 2

   Add 6 to both sides:

   2x - 6 + 6 = 2 + 6

   2x = 8

   Divide both sides by 2 to solve for x:

   x = 8 / 2

   x = 4

6. 15 - 2(x - 1) = 4 - x

   Distribute the -2 on the left side:

   15 - 2x + 2 = 4 - x

   Combine like terms:

   17 - 2x = 4 - x

   Add x to both sides:

   17 - 2x + x = 4

   -2x + x = 4 - 17

   -x = -13

   Divide both sides by -1 to solve for x:

   x = -13 / -1

   x = 13

7. (7x + 1) - (9x + 3) = 5

   Remove the parentheses:

   7x + 1 - 9x - 3 = 5

   Combine like terms:

   (7x - 9x) + (1 - 3) = 5

   -2x - 2 = 5

   Add 2 to both sides:

   -2x - 2 + 2 = 5 + 2

   -2x = 7

   Divide both sides by -2 to solve for x:

   x = 7 / -2

   x = -3.5

8. 4x + 4(5x + 2) = 10(2x - 3) + 15

   Start by simplifying both sides:

   4x + 20x + 8 = 20x - 30 + 15

   Combine like terms:

   24x + 8 = 20x - 15

   Subtract 20x from both sides:

   24x - 20x + 8 = -15

   4x + 8 = -15

   Subtract 8 from both sides:

   4x + 8 - 8 = -15 - 8

   4x = -23

   Divide both sides by 4 to solve for x:

   x = -23 / 4

   x = -5.75

9. 2(7x - 7) = 7(2x - 3) + 7

   Start by simplifying both sides:

   14x - 14 = 14x - 21 + 7

   Combine like terms:

   14x - 14 = 14x - 14

   Both sides have the same expression, so there are infinitely many solutions to this equation.