Решите уравнение 1) 5x+6=8x-3 2) - 2x+4=-x-1 3) 1/2x-1/7 = 1/14-1/5x 4) 3 целых 1/2-x = 2 целых 1/2 - 1/2x 5) 18x-4=10x 6) 3x=8x 7) - 10x+5=-x-40 8) 8x=5x-4 9) 32-18x=-8+22x 10) - 6x-3x=45

Решим линейные уравнения, сгруппировав неизвестные и свободные члены в разных частях.

1) 5x + 6 = 8x - 3;

(8 - 5) x = 6 + 3;

x = 9/3;

x = 3.

2) - 2x + 4 = - x - 1;

4 + 1 = (2 - 1) x;

x = 5.

3) 1/2x - 1/7 = 1/14 - 1/5x;

(1/2 + 1/5) x = 1/7 + 1/14;

x (5 + 2) / 10 = (2 + 1) / 14;

x = 3/14 : 7/10 = 3/14 * 10/7 = 15.

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

3 1/2 - 2 1/2 = x (1 - 1/2);

1 = x * 1/2;

x = 2.

5) 18x - 4 = 10x;

(18 - 10) x = 4;

8x = 4;

x = 4/8 = 1/2.

6) 3x = 8x;

(8 - 3) x = 0;

5x = 0;

x = 0.

7) - 10x + 5 = - x - 40;

5 + 40 = (10 - 1) x;

45 = 9x;

x = 45/9 = 5.

8) 8x = 5x - 4;

(8 - 5) x = - 4;

3x = - 4;

x = - 4/3 = - 1 1/3.

9) 32 - 18x = - 8 + 22x;

32 + 8 = (22 + 18) x;

40 = 40x;

x = 40/40 = 1.

10) - 6x - 3x = 45;

- 9x = 45;

x = - 45/9 = - 5.