X+1 (1/2) = (4 х+3) / 4 - (2-3 х) / 8

х + 1 (1/2) = (4 х + 3) / 4 - (2 - 3 х) / 8;

(х + 1) (1/2) * 8 = ((4 х + 3) / 4) * 8 - ((2 - 3 х) / 8) * 8;

(х + 1) * 4 = (4 х + 3) * 2 - (2 - 3 х);

х * 4 + 1 * 4 = 4 х * 2 + 3 * 2 - 1 * 2 - 1 * (-3x);

4x + 4 = 4 х * 2 + 3 * 2 - 1 * 2 - 1 * (-3x);

4x + 4 = 8x + 6 - 2 + 3 х;

4 х - 8 х - 3 х + 4 = 6 - 2;

-4 х - 3 х + 4 = 6 - 2;

-7 х + 4 = 6 - 2;

-7 х + 4 = 4;

-7 х = 4 - 4;

-7 х = 0;

х = 0 : (-7);

х = 0.

Проверка:

0 + 1 (1/2) = (4 * 0 + 3) / 4 - (2 - 3 * 0) / 8;

1 * 1/2 = (0 + 3) / 4 - (2 - 0) / 8;

1/2 = 3/4 - 2/8;

1/2 = 6/8 - 2/8;

1/2 = 4/8;

1/2 = 1/2.

Ответ: х = 0.