(3-6х)(1+3х)+2х=2х(1-9х)+10 решить уровнение

(3 - 6х)(1 + 3х) + 2х = 2х(1 - 9х) + 10;

3 + 9х – 6х – 18х² + 2х = 2х – 18х² + 10;

3 + 9х – 6х – 18х² + 2х - 2х + 18х² – 10 = 0;

+ 18х2 – 18х² + 9х – 6х + 2х - 2х  – 10 + 3 = 0;

3х – 7 = 0;

3х = 7;

х = 7 : 3;

х = 7/3.

х = 2 1/3.

Проверка:

(3 – 6 * 7/3)(1 + 3 * 7/3) + 2 * 7/3 = 2 * 7/3 * (1 – 9 * 7/3) + 10;

(3 – 14)(1 + 7) + 14/3 = 14/3 * (1 – 21) + 10;

(-11) * 8 + 14/3 = 14/3 * (-20) + 10;

-88 + 14/3 = -280/3 + 10;

-264/3 + 14/3 = -280/3 + 30/3;

-250/3 = -250/3.

-83 1/3 = -83 1/3.

Ответ: х = 7/3 = 2 1/3.