Вопрос:

1. Решите уравнения: a) $$-5x = 11 - 2(4x-2)$$ б) $$7 - 3(5x-3) = -11x$$ в) $$16 - 7(5-x) = 9$$ г) $$7x - 15 = 4x - 3(x-3)$$ д) $$2(7x+11) - 5x = 5x$$ е) $$2x - 3(x-3) = 12$$

Ответ:

a) $$-5x = 11 - 2(4x-2)$$ $$-5x = 11 - 8x + 4$$ $$-5x + 8x = 15$$ $$3x = 15$$ $$x = \frac{15}{3}$$ $$\bold{x = 5}$$ б) $$7 - 3(5x-3) = -11x$$ $$7 - 15x + 9 = -11x$$ $$16 - 15x = -11x$$ $$-15x + 11x = -16$$ $$-4x = -16$$ $$x = \frac{-16}{-4}$$ $$\bold{x = 4}$$ в) $$16 - 7(5-x) = 9$$ $$16 - 35 + 7x = 9$$ $$-19 + 7x = 9$$ $$7x = 9 + 19$$ $$7x = 28$$ $$x = \frac{28}{7}$$ $$\bold{x = 4}$$ г) $$7x - 15 = 4x - 3(x-3)$$ $$7x - 15 = 4x - 3x + 9$$ $$7x - 15 = x + 9$$ $$7x - x = 9 + 15$$ $$6x = 24$$ $$x = \frac{24}{6}$$ $$\bold{x = 4}$$ д) $$2(7x+11) - 5x = 5x$$ $$14x + 22 - 5x = 5x$$ $$9x + 22 = 5x$$ $$9x - 5x = -22$$ $$4x = -22$$ $$x = \frac{-22}{4}$$ $$x = \frac{-11}{2}$$ $$\bold{x = -5.5}$$ е) $$2x - 3(x-3) = 12$$ $$2x - 3x + 9 = 12$$ $$-x + 9 = 12$$ $$-x = 12 - 9$$ $$-x = 3$$ $$\bold{x = -3}$$
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