Решим уравнения:
43.
$$6(3x+1)-3x = 11x$$
$$18x + 6 - 3x = 11x$$
$$15x + 6 = 11x$$
$$15x - 11x = -6$$
$$4x = -6$$
$$x = \frac{-6}{4} = -\frac{3}{2} = -1.5$$
Ответ: $$x = -1.5$$
44.
$$11 - 5x = 2(3 - 4x) - 16$$
$$11 - 5x = 6 - 8x - 16$$
$$11 - 5x = -10 - 8x$$
$$-5x + 8x = -10 - 11$$
$$3x = -21$$
$$x = \frac{-21}{3} = -7$$
Ответ: $$x = -7$$
45.
$$(7x - 8) - (2x - 5) = 17$$
$$7x - 8 - 2x + 5 = 17$$
$$5x - 3 = 17$$
$$5x = 17 + 3$$
$$5x = 20$$
$$x = \frac{20}{5} = 4$$
Ответ: $$x = 4$$
46.
$$2(1 - 4x) - 12 + 3x = 15$$
$$2 - 8x - 12 + 3x = 15$$
$$-5x - 10 = 15$$
$$-5x = 15 + 10$$
$$-5x = 25$$
$$x = \frac{25}{-5} = -5$$
Ответ: $$x = -5$$
47.
$$8x - 18 = 6x - 2(x - 5)$$
$$8x - 18 = 6x - 2x + 10$$
$$8x - 18 = 4x + 10$$
$$8x - 4x = 10 + 18$$
$$4x = 28$$
$$x = \frac{28}{4} = 7$$
Ответ: $$x = 7$$
48.
$$11 - 5(4x - 3) = 4$$
$$11 - 20x + 15 = 4$$
$$26 - 20x = 4$$
$$-20x = 4 - 26$$
$$-20x = -22$$
$$x = \frac{-22}{-20} = \frac{11}{10} = 1.1$$
Ответ: $$x = 1.1$$
49.
$$3(3 - 2x) + 8 + 2x = 5$$
$$9 - 6x + 8 + 2x = 5$$
$$17 - 4x = 5$$
$$-4x = 5 - 17$$
$$-4x = -12$$
$$x = \frac{-12}{-4} = 3$$
Ответ: $$x = 3$$
50.
$$5(1 - 2x) - 9 + 3x = 24$$
$$5 - 10x - 9 + 3x = 24$$
$$-4 - 7x = 24$$
$$-7x = 24 + 4$$
$$-7x = 28$$
$$x = \frac{28}{-7} = -4$$
Ответ: $$x = -4$$
51.
$$18 - 7x = 10 - 3(x + 4)$$
$$18 - 7x = 10 - 3x - 12$$
$$18 - 7x = -2 - 3x$$
$$-7x + 3x = -2 - 18$$
$$-4x = -20$$
$$x = \frac{-20}{-4} = 5$$
Ответ: $$x = 5$$
52.
$$5(x - 3) + 7 - 2x = 16$$
$$5x - 15 + 7 - 2x = 16$$
$$3x - 8 = 16$$
$$3x = 16 + 8$$
$$3x = 24$$
$$x = \frac{24}{3} = 8$$
Ответ: $$x = 8$$
53.
$$2(4 + 3x) = -x - 13$$
$$8 + 6x = -x - 13$$
$$6x + x = -13 - 8$$
$$7x = -21$$
$$x = \frac{-21}{7} = -3$$
Ответ: $$x = -3$$