Решите уравнение. 1) 4x+12=5x+6 2) 3x-17=8x+23 3) 4 (3-x) - 11=7 * (2x-5) 4) 3 (5-x) + 13=4 (3x-8)

Решаем линейные уравнения с одной переменной.

1) 4x + 12 = 5x + 6;

4x - 5x = 6 - 12;

x (4 - 5) = - 6;

-x = - 6;

x = 6.

2) 3x - 17 = 8x + 23;

3x - 8x = 23 + 17;

x (3 + 8) = 40;

11x = 40;

x = 40/11;

x = 3 7/11.

3) 4 (3 - x) - 11 = 7 * (2x - 5);

12 - 4x - 11 = 14x - 35;

-4x - 14x = - 35 - 12 + 11;

-16x = - 36;

x = - 36 : (-16);

x = 36/16;

x = 2 4/16;

x = 2 1/4.

4) 3 (5 - x) + 13 = 4 (3x - 8);

15 - 3x + 13 = 12x - 32;

-3x - 12x = - 32 - 15 - 13;

x (-3 - 12) = - 60;

-15x = - 60;

x = - 60 : (-15);

x = 4.

Ответ: 1) x = 6; 2) x = 3 7/11; 3) x = 2 1/4; 4) x = 4.