11. Решите уравнение: 1) 3(x - 2) = x + 2; 2) 5 - 2(x - 1) = 4 - x; 3) (7x + 1) - (9x + 3) = 5;

Решение:

1. \( 3(x - 2) = x + 2 \)


2. \( 3x - 6 = x + 2 \)


3. \( 3x - x = 2 + 6 \)


4. \( 2x = 8 \)


5. \( x = \frac{8}{2} \)


6. \( x = 4 \)

Ответ: \( x = 4 \).

Решение:

1. \( 5 - 2(x - 1) = 4 - x \)


2. \( 5 - 2x + 2 = 4 - x \)


3. \( 7 - 2x = 4 - x \)


4. \( 7 - 4 = 2x - x \)


5. \( 3 = x \)

Ответ: \( x = 3 \).

Решение:

1. \( (7x + 1) - (9x + 3) = 5 \)


2. \( 7x + 1 - 9x - 3 = 5 \)


3. \( -2x - 2 = 5 \)


4. \( -2x = 5 + 2 \)


5. \( -2x = 7 \)


6. \( x = \frac{7}{-2} \)


7. \( x = -3.5 \)

Ответ: \( x = -3.5 \).