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. 1. \[ 2 + 3x = -2x - 13 \]
   \[ 3x + 2x = -13 - 2 \]
   \[ 5x = -15 \]
   \[ x = -3 \]
2. 2. \[ 1 - 7(4 + 2x) = -9 - 4x \]
   \[ 1 - 28 - 14x = -9 - 4x \]
   \[ -27 - 14x = -9 - 4x \]
   \[ -14x + 4x = -9 + 27 \]
   \[ -10x = 18 \]
   \[ x = -1.8 \]
3. 3. \[ -x - 2 + 3(4 - x) - 3 \]
   \[ -x - 2 + 12 - 3x - 3 \]
   \[ -4x + 7 \]
4. 4. \[ (-5x + 3)(-x + 6) = 0 \]
   \[ -5x + 3 = 0 \] или \[ -x + 6 = 0 \]
   \[ -5x = -3 \] или \[ -x = -6 \]
   \[ x = 0.6 \] или \[ x = 6 \]
5. 5. \[ 5 + 2x = 3(2x - 5) - 8 \]
   \[ 5 + 2x = 6x - 15 - 8 \]
   \[ 5 + 2x = 6x - 23 \]
   \[ 2x - 6x = -23 - 5 \]
   \[ -4x = -28 \]
   \[ x = 7 \]
6. 6. \[ 4(14 + 4x) - 3x = 6x \]
   \[ 56 + 16x - 3x = 6x \]
   \[ 56 + 13x = 6x \]
   \[ 13x - 6x = -56 \]
   \[ 7x = -56 \]
   \[ x = -8 \]
7. 7. \[ 2(1 - 4x) - 12 + 3x = 15 \]
   \[ 2 - 8x - 12 + 3x = 15 \]
   \[ -10 - 5x = 15 \]
   \[ -5x = 15 + 10 \]
   \[ -5x = 25 \]
   \[ x = -5 \]
8. 8. \[ 4 = 7 - 6(5x - 1) \]
   \[ 4 = 7 - 30x + 6 \]
   \[ 4 = 13 - 30x \]
   \[ 4 - 13 = -30x \]
   \[ -9 = -30x \]
   \[ x = \frac{-9}{-30} = \frac{3}{10} = 0.3 \]