Решите уравнения: 25.1 2(x - 1) = x + 1 25.2 2(x - 3) = x + 3 25.3 2(x - 9) - x = 9 25.4 2(x - 6) = x + 6 25.5 2(x - 7) = x + 7 25.6 2(x - 9) = x + 9 25.7 2(x – 8) - x = 8 25.8 2(x - 10) = x + 10 25.9 2(x - 4) = x + 4 25.10 2(x - 5) – x = 5

Решение:

1. 25.1 \( 2(x - 1) = x + 1 \)
   \( 2x - 2 = x + 1 \)
   \( 2x - x = 1 + 2 \)
   \( x = 3 \)
2. 25.2 \( 2(x - 3) = x + 3 \)
   \( 2x - 6 = x + 3 \)
   \( 2x - x = 3 + 6 \)
   \( x = 9 \)
3. 25.3 \( 2(x - 9) - x = 9 \)
   \( 2x - 18 - x = 9 \)
   \( x - 18 = 9 \)
   \( x = 9 + 18 \)
   \( x = 27 \)
4. 25.4 \( 2(x - 6) = x + 6 \)
   \( 2x - 12 = x + 6 \)
   \( 2x - x = 6 + 12 \)
   \( x = 18 \)
5. 25.5 \( 2(x - 7) = x + 7 \)
   \( 2x - 14 = x + 7 \)
   \( 2x - x = 7 + 14 \)
   \( x = 21 \)
6. 25.6 \( 2(x - 9) = x + 9 \)
   \( 2x - 18 = x + 9 \)
   \( 2x - x = 9 + 18 \)
   \( x = 27 \)
7. 25.7 \( 2(x - 8) - x = 8 \)
   \( 2x - 16 - x = 8 \)
   \( x - 16 = 8 \)
   \( x = 8 + 16 \)
   \( x = 24 \)
8. 25.8 \( 2(x - 10) = x + 10 \)
   \( 2x - 20 = x + 10 \)
   \( 2x - x = 10 + 20 \)
   \( x = 30 \)
9. 25.9 \( 2(x - 4) = x + 4 \)
   \( 2x - 8 = x + 4 \)
   \( 2x - x = 4 + 8 \)
   \( x = 12 \)
10. 25.10 \( 2(x - 5) - x = 5 \)
    \( 2x - 10 - x = 5 \)
    \( x - 10 = 5 \)
    \( x = 5 + 10 \)
    \( x = 15 \)

Ответ: 25.1: x = 3; 25.2: x = 9; 25.3: x = 27; 25.4: x = 18; 25.5: x = 21; 25.6: x = 27; 25.7: x = 24; 25.8: x = 30; 25.9: x = 12; 25.10: x = 15.