1/2(4x-6)-2(2x-3)=3+5x

1/2(4x - 6) - 2(2x - 3) = 3 + 5x;

1/2 * 4х + 1/2 * (-6) - 2 * 2х - 2 * (-3) = 3 + 5х;

2х - 3 - 4х + 6 = 3 + 5х;

2х - 4х - 5х = 3 + 3 - 6;

-2х - 5х = 3 + 3 - 6;

-7х = 3 + 3 - 6;

-7х = 6 - 6;

-7х = 0;

х = 0 : (-7);

х = 0.

Проверка:

1/2(4 * 0 - 6) - 2(2 * 0 - 3) = 3 + 5 * 0;

1/2(0 - 6) - 2(2 * 0 - 3) = 3 + 5 * 0;

1/2 * (-6) - 2(2 * 0 - 3) = 3 + 5 * 0;

1/2 * (-6) - 2(0 - 3) = 3 + 5 * 0;

1/2 * (-6) - 2 * (-3) = 3 + 5 * 0;

-3 - 2 * (-3) = 3 + 5 * 0;

-3 + 6 = 3 + 5 * 0;

3 = 3 + 5 * 0;

3 = 3 + 0;

3 = 3.

Ответ: х = 0.