Решите уравнения: a) $$2x - \frac{7}{4} = 0$$; б) $$7(3x + 1) – 11x = 2$$; в) $$11x = 6 - (4x + 66)$$. a) $$3x - \frac{11}{6} = 0$$ б) $$4(2 - 4x) + 6x = 3$$ в) $$9x = 5x - (72 - 2x)$$.

a) $$2x - \frac{7}{4} = 0$$;

$$2x = \frac{7}{4}$$

$$x = \frac{7}{4} : 2$$

$$x = \frac{7}{4} \cdot \frac{1}{2}$$

$$x = \frac{7}{8}$$

Ответ: $$x = \frac{7}{8}$$

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б) $$7(3x + 1) – 11x = 2$$;

$$21x + 7 - 11x = 2$$

$$10x = 2 - 7$$

$$10x = -5$$

$$x = -5 : 10$$

$$x = -\frac{1}{2}$$

Ответ: $$x = -\frac{1}{2}$$

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в) $$11x = 6 - (4x + 66)$$;

$$11x = 6 - 4x - 66$$

$$11x + 4x = -60$$

$$15x = -60$$

$$x = -60 : 15$$

$$x = -4$$

Ответ: $$x = -4$$

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a) $$3x - \frac{11}{6} = 0$$

$$3x = \frac{11}{6}$$

$$x = \frac{11}{6} : 3$$

$$x = \frac{11}{6} \cdot \frac{1}{3}$$

$$x = \frac{11}{18}$$

Ответ: $$x = \frac{11}{18}$$

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б) $$4(2 - 4x) + 6x = 3$$

$$8 - 16x + 6x = 3$$

$$-10x = 3 - 8$$

$$-10x = -5$$

$$x = -5 : (-10)$$

$$x = \frac{1}{2}$$

Ответ: $$x = \frac{1}{2}$$

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в) $$9x = 5x - (72 - 2x)$$.

$$9x = 5x - 72 + 2x$$

$$9x - 5x - 2x = -72$$

$$2x = -72$$

$$x = -72 : 2$$

$$x = -36$$

Ответ: $$x = -36$$