Пошаговое объяснение:
1.
-6x – 13 = -7x – 14
7x - 6x = -14 + 13
x = -1
2.
5x = 8 + 3(2x + 3)
5x = 8 + 6x + 9
5x = 17 + 6x
6x - 5x = -17
x = -17
3.
3(4x + 1) + 3x = 2x – 23
12x + 3 + 3x = 2x - 23
15x + 3 = 2x - 23
15x - 2x = -23 - 3
13x = -26
x = -26 : 13
x = -2
4.
7(2x - 5) – 4(5x + 3) = -33
14x - 35 - 20x - 12 = -33
-6x - 47 = -33
6x = -47 + 33
6x = -14
x = -14 : 6
x = -2 1/3
5.
6x - 7(3x – 5) – 2(4x – 7) = 3
6x - 21x + 35 - 8x + 14 = 3
-23x + 49 = 3
23x = 49 - 3
23x = 46
x = 46 : 23
x = 2
6.
12(x - 2) - (4x – 3) = 8(x + 3)
12x - 24 - 4x + 3 = 8x + 24
8x - 21 = 8x + 24
8x - 8x = 24 + 21
0 ≠ 45
уравнение не имеет корней
Пошаговое объяснение:
1.
-6x – 13 = -7x – 14
7x - 6x = -14 + 13
x = -1
2.
5x = 8 + 3(2x + 3)
5x = 8 + 6x + 9
5x = 17 + 6x
6x - 5x = -17
x = -17
3.
3(4x + 1) + 3x = 2x – 23
12x + 3 + 3x = 2x - 23
15x + 3 = 2x - 23
15x - 2x = -23 - 3
13x = -26
x = -26 : 13
x = -2
4.
7(2x - 5) – 4(5x + 3) = -33
14x - 35 - 20x - 12 = -33
-6x - 47 = -33
6x = -47 + 33
6x = -14
x = -14 : 6
x = -2 1/3
5.
6x - 7(3x – 5) – 2(4x – 7) = 3
6x - 21x + 35 - 8x + 14 = 3
-23x + 49 = 3
23x = 49 - 3
23x = 46
x = 46 : 23
x = 2
6.
12(x - 2) - (4x – 3) = 8(x + 3)
12x - 24 - 4x + 3 = 8x + 24
8x - 21 = 8x + 24
8x - 8x = 24 + 21
0 ≠ 45
уравнение не имеет корней