1 вариант 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)

Решение:

1. 2 + 3x = -2x - 13
   3x + 2x = -13 - 2
   5x = -15
   x = -3
   
2. 1 - 7(4 + 2x) = -9 - 4x
   1 - 28 - 14x = -9 - 4x
   -14x + 4x = -9 + 28 - 1
   -10x = 18
   x = -1.8
   
3. -x - 2 + 3(4 - x) - 3 = 0
   -x - 2 + 12 - 3x - 3 = 0
   -4x + 7 = 0
   -4x = -7
   x = 1.75
   
4. (-5x + 3)(-x + 6) = 0
   5x^2 - 30x - 3x + 18 = 0
   5x^2 - 33x + 18 = 0
   D = (-33)^2 - 4 \cdot 5 \cdot 18 = 1089 - 360 = 729
   x_1 = \frac{33 + \sqrt{729}}{2 \cdot 5} = \frac{33 + 27}{10} = \frac{60}{10} = 6
   x_2 = \frac{33 - \sqrt{729}}{2 \cdot 5} = \frac{33 - 27}{10} = \frac{6}{10} = 0.6
   
5. 5 + 2x = 3(2x - 5) - 8
   5 + 2x = 6x - 15 - 8
   2x - 6x = -23 - 5
   -4x = -28
   x = 7
   
6. 4(14 + 4x) - 3x = 6x
   56 + 16x - 3x = 6x
   13x - 6x = -56
   7x = -56
   x = -8
   
7. 2(1 - 4x) - 12 + 3x = 15
   2 - 8x - 12 + 3x = 15
   -5x - 10 = 15
   -5x = 25
   x = -5
   
8. 4 = 7 - 6(5x - 1)
   4 = 7 - 30x + 6
   30x = 13 - 4
   30x = 9
   x = 0.3
   

Ответ: 1) x = -3; 2) x = -1.8; 3) x = 1.75; 4) x = 6, x = 0.6; 5) x = 7; 6) x = -8; 7) x = -5; 8) x = 0.3

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