Краткое пояснение: Решим каждое уравнение по отдельности, используя алгебраические преобразования для нахождения переменной x.
Решение:
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1) 6x - x = 8.4 - 0.9
- 5x = 7.5
- x = 7.5 / 5
- x = 1.5
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2) 1 - 2(5 + 3x) = 15
- 1 - 10 - 6x = 15
- -9 - 6x = 15
- -6x = 24
- x = -4
-
3) 8 - 5(8 + 3x) = 13
- 8 - 40 - 15x = 13
- -32 - 15x = 13
- -15x = 45
- x = -3
-
4) 2 - 3(7 + 2x) = 11
- 2 - 21 - 6x = 11
- -19 - 6x = 11
- -6x = 30
- x = -5
-
5) 2 - 3(2 + 3x) = 14
- 2 - 6 - 9x = 14
- -4 - 9x = 14
- -9x = 18
- x = -2
-
6) x - 2(3x + 2) = 16
- x - 6x - 4 = 16
- -5x - 4 = 16
- -5x = 20
- x = -4
-
7) 3x - 2(3x + 4) = 10
- 3x - 6x - 8 = 10
- -3x - 8 = 10
- -3x = 18
- x = -6
-
8) 2x - 3(3x + 1) = 11
- 2x - 9x - 3 = 11
- -7x - 3 = 11
- -7x = 14
- x = -2
-
9) 3x - 2(3x - 2) = 19
- 3x - 6x + 4 = 19
- -3x + 4 = 19
- -3x = 15
- x = -5
-
10) -4x = 15 - 3(3x - 5)
- -4x = 15 - 9x + 15
- -4x = 30 - 9x
- 5x = 30
- x = 6
-
11) -7x = 13 - 2(8x - 7)
- -7x = 13 - 16x + 14
- -7x = 27 - 16x
- 9x = 27
- x = 3
-
12) -5x = 11 - 2(4x - 2)
- -5x = 11 - 8x + 4
- -5x = 15 - 8x
- 3x = 15
- x = 5
-
13) 7 - 3(5x - 3) = -11x
- 7 - 15x + 9 = -11x
- 16 - 15x = -11x
- 16 = 4x
- x = 4
-
14) 16 - 7(5 - x) = 9
- 16 - 35 + 7x = 9
- -19 + 7x = 9
- 7x = 28
- x = 4
-
15) 13 - 6(3 - x) = 25
- 13 - 18 + 6x = 25
- -5 + 6x = 25
- 6x = 30
- x = 5