Вопрос:

1. 1 – 5x + -6x + 8 2. 2 – 3(2x + 2) = 5 - 4x 3. – 9(8 – 9x) = 4x + 5 4. (– x + 7)(– 8x + 5) = 0 5. 16 + 6x = 5(1 – 2x) – 13 6. 6(3x + 1) – 3x = 11x 7. 3(3 – 2x) + 8 + 2x = 5 8. 5 = 12 – 5(4x – 1)

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Ответ:

Решим уравнения:

  1. $$1 - 5x - 6x + 8 = 0$$ $$-11x + 9 = 0$$ $$-11x = -9$$ $$x = \frac{9}{11}$$ Ответ: x = 9/11
  2. $$2 - 3(2x + 2) = 5 - 4x$$ $$2 - 6x - 6 = 5 - 4x$$ $$-6x + 4x = 5 - 2 + 6$$ $$-2x = 9$$ $$x = -4.5$$ Ответ: x = -4.5
  3. $$-9(8 - 9x) = 4x + 5$$ $$-72 + 81x = 4x + 5$$ $$81x - 4x = 5 + 72$$ $$77x = 77$$ $$x = 1$$ Ответ: x = 1
  4. $$(-x + 7)(-8x + 5) = 0$$ $$-x + 7 = 0$$ или $$-8x + 5 = 0$$ $$-x = -7$$ или $$-8x = -5$$ $$x = 7$$ или $$x = \frac{5}{8}$$ Ответ: x = 7, x = 5/8
  5. $$16 + 6x = 5(1 - 2x) - 13$$ $$16 + 6x = 5 - 10x - 13$$ $$6x + 10x = -8 - 16$$ $$16x = -24$$ $$x = -1.5$$ Ответ: x = -1.5
  6. $$6(3x + 1) - 3x = 11x$$ $$18x + 6 - 3x = 11x$$ $$15x - 11x = -6$$ $$4x = -6$$ $$x = -1.5$$ Ответ: x = -1.5
  7. $$3(3 - 2x) + 8 + 2x = 5$$ $$9 - 6x + 8 + 2x = 5$$ $$-4x + 17 = 5$$ $$-4x = -12$$ $$x = 3$$ Ответ: x = 3
  8. $$5 = 12 - 5(4x - 1)$$ $$5 = 12 - 20x + 5$$ $$5 = 17 - 20x$$ $$20x = 12$$ $$x = \frac{12}{20} = \frac{3}{5}$$ $$x = 0.6$$ Ответ: x = 0.6
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