x-2 (x-3 (x-4 (x-5))) = 65x-4 (x-3 (x-2 (x-1))) = 2x - (x - (x - (x-1))) = 1 - (2 - (3 - (4-x))) 4x - (3x - (2x - (x-1) - 2) - 3) - 4=0

Все уравнения решаем по одному алгоритму: раскрываем скобки (начиная с внутренней), подводим подобные слагаемые, находим х.

1) x - 2 (x - 3 (x - 4 (x - 5))) = 6.

x - 2 (x - 3 (x - 4x + 20)) = 6.

x - 2 (x - 3 (-3x + 20)) = 6.

x - 2 (x + 9x - 60) = 6.

x - 2 (10x - 60) = 6.

x - 20x + 120 = 6.

-19 х = 6 - 120.

-19 х = - 114.

х = - 114 / (-19) = 6.

2) 5x - 4 (x - 3 (x - 2 (x - 1))) = 2.

5x - 4 (x - 3 (x - 2x + 2)) = 2.

5x - 4 (x - 3 (-x + 2)) = 2.

5x - 4 (x + 3x - 6) = 2.

5x - 4 (4x - 6) = 2.

5x - 16x + 24 = 2.

-11 х = 2 - 24.

-11 х = - 22.

х = - 22 / (-11) = 2.

3) x - (x - (x - (x - 1))) = 1 - (2 - (3 - (4 - x))).

x - (x - (x - x + 1)) = 1 - (2 - (3 - 4 + x)).

x - (x - (0 + 1) = 1 - (2 - (-1 + x)).

x - (x - 1) = 1 - (2 + 1 - х).

x - (x - 1) = 1 - (3 - х).

x - x + 1 = 1 - 3 + х.

1 = - 2 + х.

-2 + х = 1.

х = 1 + 2 = 3.

4) 4x - (3x - (2x - (x - 1) - 2) - 3) - 4 = 0.

4x - (3x - (2x - x + 1 - 2) - 3) - 4 = 0.

4x - (3x - (x - 1) - 3) - 4 = 0.

4x - (3x - x + 1 - 3) - 4 = 0.

4x - (2x - 2) - 4 = 0.

4x - 2x + 2 - 4 = 0.

2x - 2 = 0.

2 х = 2.

х = 2/2 = 1.