11x - 3 = 6x + 12
11x - 6x = 12 + 3
5x = 15
x = 3
6(2x - 5) - 4 = 2
12x - 30 - 4 = 2
12x = 36
x = 3
6x - 1 = 3x + 5(4x - 7)
6x - 1 = 3x + 20x - 35
6x - 23x = -35 + 1
-17x = -34
x = 2
4(6x + 5) - 5(7x - 4) = x
24x + 20 - 35x + 20 = x
-11x - x = -40
-12x = -40
x = 10/3
4x - 6(3x + 8) - 5(2x - 7) = 35
4x - 18x - 48 - 10x + 35 = 35
-24x = 48
x = -2
7(2x - 3) + 1 = 2(7x - 10)
14x - 21 + 1 = 14x - 20
14x - 14x = 20
0 = 0
x - любое число
-5x - 22 = -8x - 4
3x = 18
x = 6
7(4x - 3) - 2x = 5
28x - 21 - 2x = 5
26x = 26
x = 1
4x + 5 = 2x + 3(5x + 6)
4x + 5 = 2x + 15x + 18
-13x = 13
x = -1
25 - 4(4x - 3) = 3(5x + 2)
25 - 16x + 12 = 15x + 6
-31x = -31
x = 1
7x - 2(5x - 3) - 4(2 - 3x) = 1
7x - 10x + 6 - 8 + 12x = 1
9x = 3
x = 1/3
9(2x - 1) + 2 = 2(9x - 3) - 1
18x - 9 + 2 = 18x - 6 - 1
18x - 18x = 4
0 = 4
нет решения
-4x - 11 = -5x - 12
x = -1
5(2x - 1) + x = 6
10x - 5 + x = 6
11x = 11
x = 1
3x + 11 = 5x + 7(3x - 5)
3x + 11 = 5x + 21x - 35
-23x = -46
x = 2
3x - 4(5x + 2) = 3(7x - 2)
3x - 20x - 8 = 21x - 6
-38x = 2
x = -1/19
17 - 2(3x - 5) - 5(4x - 1) = 6x
17 - 6x + 10 - 20x + 5 = 6x
-32x = -32
x = 1
-11x + 3(x - 3) = -8x - 9
-11x + 3x - 9 = -8x - 9
-8x + 8x = 0
0 = 0
x - любое число
8x + 12 = 5x + 3
3x = -9
x = -3
3(2x + 1) + 7 = 4
6x + 3 + 7 = 4
6x = -6
x = -1
6 + 3(5x - 7) = 4x + 7
6 + 15x - 21 = 4x + 7
11x = 22
x = 2
3(7x - 4) - 4(6x + 5) = x
21x - 12 - 24x - 20 = x
-3x - 32 = x
-4x = 32
x = -8
3x - 5(2x + 3) - 6(5x - 4) = -28
3x - 10x - 15 - 30x + 24 = -28
-37x = -37
x = 1
3(x + 21) + 2(x - 4) = 5(x + 11)
3x + 63 + 2x - 8 = 5x + 55
5x + 55 = 5x + 55
0 = 0
x - любое число
Проверка за 10 секунд: Убедись, что правильно раскрыты скобки и перенесены слагаемые с изменением знака. Пересчитай арифметику.
Читерский прием: Если уравнение имеет вид 0 = 0, значит, x - любое число. Если получилось, что 0 = числу, то решения нет.