Решите уравнения: 2x-3 (x-1) = 4+2 (x-1) x/3+x+1/4=2

1. 2·х - 3·х + 3·1 = 4 + 2·х - 2·1,

-х + 3 = 2 + 2·х,

2·х + х = 3 - 2,

3·х = 1,

х = 1/3.

Проверка:

2·1/3 - 3· (1/3 - 1) = 4 + 2· (1/3 - 1),

2/3 - 3· (1/3 - 3/3) = 4 + 2· (1/3 - 3/3),

2/3 - 3· (-2/3) = 4 + 2· (-2/3),

2/3 + 2 = 4 - 4/3,

2/3 + 2·3/3 = 4·3/3 - 4/3,

8/3 = 8/3.

2. х· (1/3 + 1) = 2 - 1/4,

х· (1/3 + 3/3) = 2·4/4 - 1/4,

х·4/3 = 8/4 - 1/4,

х = 7/4:4/3,

х = 7/4·3/4,

х = 21/16 = 1 5/16.

Проверка:

(21/16) : 3 + 21/16 + 1/4 = 2,

21/48 + 21·3/16·3 + 1·12/4·12 = 2,

21/48 + 63/48 + 12/48 = 2,

96/48 = 2,

2 = 2.