Вопрос:

1. 2 + 3x = -2x - 13 2. -x - 2 + 3(4 - x) = -3 3. 4 = 7 - 6(5x - 1) 4. -9(8 - 9x) = 4x + 5 5. 6(3x + 1) - 3x = 11x 6. 1 - 7(4 + 2x) = -9 - 4x 7. 5 + 2x = 3(2x - 5) - 8 8. 2(1 - 4x) - 12 + 3x = 15 9. 16 + 6x = 5(1 - 2x) - 13 10. 3(3 - 2x) + 8 + 2x = 5 11. 3(4x - 5) = 2(x - 3)

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Ответ:

Решение:

  • 1. \[ 2 + 3x = -2x - 13 \]\[ 5x = -15 \]\[ x = -3 \]
  • 2. \[ -x - 2 + 12 - 3x = -3 \]\[ -4x + 10 = -3 \]\[ -4x = -13 \]\[ x = \frac{13}{4} \]
  • 3. \[ 4 = 7 - 30x + 6 \]\[ 4 = 13 - 30x \]\[ 30x = 9 \]\[ x = \frac{9}{30} = \frac{3}{10} \]
  • 4. \[ -72 + 81x = 4x + 5 \]\[ 77x = 77 \]\[ x = 1 \]
  • 5. \[ 18x + 6 - 3x = 11x \]\[ 15x + 6 = 11x \]\[ 4x = -6 \]\[ x = -\frac{6}{4} = -\frac{3}{2} \]
  • 6. \[ 1 - 28 - 14x = -9 - 4x \]\[ -27 - 14x = -9 - 4x \]\[ -18 = 10x \]\[ x = -\frac{18}{10} = -\frac{9}{5} \]
  • 7. \[ 5 + 2x = 6x - 15 - 8 \]\[ 5 + 2x = 6x - 23 \]\[ 28 = 4x \]\[ x = 7 \]
  • 8. \[ 2 - 8x - 12 + 3x = 15 \]\[ -10 - 5x = 15 \]\[ -5x = 25 \]\[ x = -5 \]
  • 9. \[ 16 + 6x = 5 - 10x - 13 \]\[ 16 + 6x = -8 - 10x \]\[ 16x = -24 \]\[ x = -\frac{24}{16} = -\frac{3}{2} \]
  • 10. \[ 9 - 6x + 8 + 2x = 5 \]\[ 17 - 4x = 5 \]\[ -4x = -12 \]\[ x = 3 \]
  • 11. \[ 12x - 15 = 2x - 6 \]\[ 10x = 9 \]\[ x = \frac{9}{10} \]

Ответ: 1. x=-3; 2. x=13/4; 3. x=3/10; 4. x=1; 5. x=-3/2; 6. x=-9/5; 7. x=7; 8. x=-5; 9. x=-3/2; 10. x=3; 11. x=9/10

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