11.-14x-5 = 13x-5 12. -14x-14 = -2x + 7 II. Решите уравнение 1. 2. 3. 4. 5. 6. 7. 8. 9. -10(4x-4) = 10(-14x - 2) 10. 7(-2x + 10) = 11(-4x-13) 11. 9(6x + 9) = -9(-11x-14) 12. -5(6x-14) = 5(-5x+1)

Решение уравнений:

Краткое пояснение: Решим каждое уравнение, выполняя упрощения и перенося переменные в одну сторону, а числа - в другую.

1. Уравнение 11:

   \[ -14x - 5 = 13x - 5 \]

   \[ -14x - 13x = -5 + 5 \]

   \[ -27x = 0 \]

   \[ x = 0 \]

2. Уравнение 12:

   \[ -14x - 14 = -2x + 7 \]

   \[ -14x + 2x = 7 + 14 \]

   \[ -12x = 21 \]

   \[ x = -\frac{21}{12} = -\frac{7}{4} = -1.75 \]

Решение остальных уравнений:

1. \[ 11(-5x + 14) = -9(9x - 7) \]

   \[ -55x + 154 = -81x + 63 \]

   \[ -55x + 81x = 63 - 154 \]

   \[ 26x = -91 \]

   \[ x = -\frac{91}{26} = -\frac{7}{2} = -3.5 \]

2. \[ -15(6x - 12) = -3(-15x - 6) \]

   \[ -90x + 180 = 45x + 18 \]

   \[ -90x - 45x = 18 - 180 \]

   \[ -135x = -162 \]

   \[ x = \frac{-162}{-135} = \frac{162}{135} = \frac{6}{5} = 1.2 \]

3. \[ 10(8x + 9) = -2(15x - 12) \]

   \[ 80x + 90 = -30x + 24 \]

   \[ 80x + 30x = 24 - 90 \]

   \[ 110x = -66 \]

   \[ x = -\frac{66}{110} = -\frac{3}{5} = -0.6 \]

4. \[ 7(-5x + 5) = -3(-15x + 14) \]

   \[ -35x + 35 = 45x - 42 \]

   \[ -35x - 45x = -42 - 35 \]

   \[ -80x = -77 \]

   \[ x = \frac{77}{80} = 0.9625 \]

5. \[ 9(-3x - 11) = -6(7x - 2) \]

   \[ -27x - 99 = -42x + 12 \]

   \[ -27x + 42x = 12 + 99 \]

   \[ 15x = 111 \]

   \[ x = \frac{111}{15} = \frac{37}{5} = 7.4 \]

6. \[ -3(-11x - 11) = 12(4x - 10) \]

   \[ 33x + 33 = 48x - 120 \]

   \[ 33x - 48x = -120 - 33 \]

   \[ -15x = -153 \]

   \[ x = \frac{-153}{-15} = \frac{51}{5} = 10.2 \]

7. \[ -2(14x + 3) = 3(-10x - 7) \]

   \[ -28x - 6 = -30x - 21 \]

   \[ -28x + 30x = -21 + 6 \]

   \[ 2x = -15 \]

   \[ x = -\frac{15}{2} = -7.5 \]

8. \[ 4(12x + 14) = -2(-14x + 1) \]

   \[ 48x + 56 = 28x - 2 \]

   \[ 48x - 28x = -2 - 56 \]

   \[ 20x = -58 \]

   \[ x = -\frac{58}{20} = -\frac{29}{10} = -2.9 \]

9. \[ -10(4x - 4) = 10(-14x - 2) \]

   \[ -40x + 40 = -140x - 20 \]

   \[ -40x + 140x = -20 - 40 \]

   \[ 100x = -60 \]

   \[ x = -\frac{60}{100} = -\frac{3}{5} = -0.6 \]

10. \[ 7(-2x + 10) = 11(-4x - 13) \]

    \[ -14x + 70 = -44x - 143 \]

    \[ -14x + 44x = -143 - 70 \]

    \[ 30x = -213 \]

    \[ x = -\frac{213}{30} = -\frac{71}{10} = -7.1 \]

11. \[ 9(6x + 9) = -9(-11x - 14) \]

    \[ 54x + 81 = 99x + 126 \]

    \[ 54x - 99x = 126 - 81 \]

    \[ -45x = 45 \]

    \[ x = -1 \]

12. \[ -5(6x - 14) = 5(-5x + 1) \]

    \[ -30x + 70 = -25x + 5 \]

    \[ -30x + 25x = 5 - 70 \]

    \[ -5x = -65 \]

    \[ x = 13 \]