Реши уравнения: 1. 2x - 30 = 0 2. 45 + 10x = 8x 3. 8x + 1 + x = 2 4. 5 + 2(x + 3) = 7 5. 5(2x + 4) - 3(5 - x) = 34 6. x + 2(6 - x) = 4

Решение:

1. \(2x - 30 = 0\)
   \(2x = 30\)
   \(x = \frac{30}{2}\)
   \(x = 15\)
2. \(45 + 10x = 8x\)
   \(10x - 8x = -45\)
   \(2x = -45\)
   \(x = -\frac{45}{2}\)
   \(x = -22.5\)
3. \(8x + 1 + x = 2\)
   \(9x + 1 = 2\)
   \(9x = 2 - 1\)
   \(9x = 1\)
   \(x = \frac{1}{9}\)
4. \(5 + 2(x + 3) = 7\)
   \(5 + 2x + 6 = 7\)
   \(2x + 11 = 7\)
   \(2x = 7 - 11\)
   \(2x = -4\)
   \(x = -2\)
5. \(5(2x + 4) - 3(5 - x) = 34\)
   \(10x + 20 - 15 + 3x = 34\)
   \(13x + 5 = 34\)
   \(13x = 34 - 5\)
   \(13x = 29\)
   \(x = \frac{29}{13}\)
6. \(x + 2(6 - x) = 4\)
   \(x + 12 - 2x = 4\)
   \(-x + 12 = 4\)
   \(-x = 4 - 12\)
   \(-x = -8\)
   \(x = 8\)

Ответ: 1. \(x = 15\); 2. \(x = -22.5\); 3. \(x = \frac{1}{9}\); 4. \(x = -2\); 5. \(x = \frac{29}{13}\); 6. \(x = 8\).