Разбираемся:
Решим каждое уравнение по порядку.
1. 5 = 12 - 5(4x - 1)
Логика такая:
- 5 = 12 - 20x + 5
- 5 = 17 - 20x
- 20x = 17 - 5
- 20x = 12
- x = \(\frac{12}{20}\)
- x = \(\frac{3}{5}\) или 0.6
Ответ: x = 0.6
2. x - 2(3x + 2) = 16
Смотри, тут всё просто:
- x - 6x - 4 = 16
- -5x = 16 + 4
- -5x = 20
- x = -4
Ответ: x = -4
3. 7x - 15 = 4x - 3(x - 3)
Смотри, как это работает:
- 7x - 15 = 4x - 3x + 9
- 7x - 15 = x + 9
- 7x - x = 9 + 15
- 6x = 24
- x = 4
Ответ: x = 4
4. (4x - 6) - (9x - 4) = 18
- 4x - 6 - 9x + 4 = 18
- -5x - 2 = 18
- -5x = 18 + 2
- -5x = 20
- x = -4
Ответ: x = -4
5. x - 5(x + 3) = 5
- x - 5x - 15 = 5
- -4x = 5 + 15
- -4x = 20
- x = -5
Ответ: x = -5
6. 3(5x + 8) - 7x = 6x
- 15x + 24 - 7x = 6x
- 8x + 24 = 6x
- 8x - 6x = -24
- 2x = -24
- x = -12
Ответ: x = -12
7. 6x - 8 = 5x - 3(x - 4)
- 6x - 8 = 5x - 3x + 12
- 6x - 8 = 2x + 12
- 6x - 2x = 12 + 8
- 4x = 20
- x = 5
Ответ: x = 5
8. 2(4x - 5) - 14 - 3x = 6
- 8x - 10 - 14 - 3x = 6
- 5x - 24 = 6
- 5x = 6 + 24
- 5x = 30
- x = 6
Ответ: x = 6
9. 5(x - 4.4) = 9x
- 5x - 22 = 9x
- 5x - 9x = 22
- -4x = 22
- x = -\(\frac{22}{4}\)
- x = -5.5
Ответ: x = -5.5
10. 1 - 4(5 + 2x) = 13
- 1 - 20 - 8x = 13
- -19 - 8x = 13
- -8x = 13 + 19
- -8x = 32
- x = -4
Ответ: x = -4