1. 2 + 3x = -2x - 13 2. 1 - 7(4 + 2x) = -9 - 4x 3. -x - 2 + 3(4 - x) - 3 4. (-5x + 3)(-x + 6) = 0 5. 5 + 2x = 3(2x - 5) - 8 6. 4(14 + 4x) - 3x = 6x 7. 2(1 - 4x) - 12 + 3x = 15 8. 4 = 7 - 6(5x - 1)

Решим уравнения:

1. 2 + 3x = -2x - 13

   3x + 2x = -13 - 2

   5x = -15

   $$x = \frac{-15}{5}$$

   $$x = -3$$

   Ответ: x = -3

2. 1 - 7(4 + 2x) = -9 - 4x

   1 - 28 - 14x = -9 - 4x

   -14x + 4x = -9 + 28 - 1

   -10x = 18

   $$x = \frac{18}{-10}$$

   $$x = -1.8$$

   Ответ: x = -1.8

3. -x - 2 + 3(4 - x) - 3 = 0

   -x - 2 + 12 - 3x - 3 = 0

   -4x + 7 = 0

   -4x = -7

   $$x = \frac{-7}{-4}$$

   $$x = 1.75$$

   Ответ: x = 1.75

4. (-5x + 3)(-x + 6) = 0

   -5x + 3 = 0 или -x + 6 = 0

   -5x = -3 или -x = -6

   $$x_1 = \frac{-3}{-5} = 0.6$$

   $$x_2 = 6$$

   Ответ: x = 0.6 или x = 6

5. 5 + 2x = 3(2x - 5) - 8

   5 + 2x = 6x - 15 - 8

   2x - 6x = -23 - 5

   -4x = -28

   $$x = \frac{-28}{-4}$$

   $$x = 7$$

   Ответ: x = 7

6. 4(14 + 4x) - 3x = 6x

   56 + 16x - 3x = 6x

   13x - 6x = -56

   7x = -56

   $$x = \frac{-56}{7}$$

   $$x = -8$$

   Ответ: x = -8

7. 2(1 - 4x) - 12 + 3x = 15

   2 - 8x - 12 + 3x = 15

   -5x - 10 = 15

   -5x = 25

   $$x = \frac{25}{-5}$$

   $$x = -5$$

   Ответ: x = -5

8. 4 = 7 - 6(5x - 1)

   4 = 7 - 30x + 6

   4 = 13 - 30x

   30x = 13 - 4

   30x = 9

   $$x = \frac{9}{30}$$

   $$x = 0.3$$

   Ответ: x = 0.3