1. 11x-3=6x + 12 2. 6(2x-5)-4=2 3. 6x-1= 3x + 5(4x-7) 4. 4(6x+5)-5(7x-4) = x 5. 4x-6(3x+8) - 5(2x-7) = 35 6. 7(2x-3)+1 = 2(7x-10)

Решение:

1. \( 11x - 3 = 6x + 12 \)
   \( 11x - 6x = 12 + 3 \)
   \( 5x = 15 \)
   \( x = \frac{15}{5} \)
   \( x = 3 \)
2. \( 6(2x - 5) - 4 = 2 \)
   \( 12x - 30 - 4 = 2 \)
   \( 12x - 34 = 2 \)
   \( 12x = 2 + 34 \)
   \( 12x = 36 \)
   \( x = \frac{36}{12} \)
   \( x = 3 \)
3. \( 6x - 1 = 3x + 5(4x - 7) \)
   \( 6x - 1 = 3x + 20x - 35 \)
   \( 6x - 1 = 23x - 35 \)
   \( 35 - 1 = 23x - 6x \)
   \( 34 = 17x \)
   \( x = \frac{34}{17} \)
   \( x = 2 \)
4. \( 4(6x + 5) - 5(7x - 4) = x \)
   \( 24x + 20 - 35x + 20 = x \)
   \( -11x + 40 = x \)
   \( 40 = x + 11x \)
   \( 40 = 12x \)
   \( x = \frac{40}{12} \)
   \( x = \frac{10}{3} \)
5. \( 4x - 6(3x + 8) - 5(2x - 7) = 35 \)
   \( 4x - 18x - 48 - 10x + 35 = 35 \)
   \( -14x - 13 = 35 \)
   \( -14x = 35 + 13 \)
   \( -14x = 48 \)
   \( x = \frac{48}{-14} \)
   \( x = -\frac{24}{7} \)
6. \( 7(2x - 3) + 1 = 2(7x - 10) \)
   \( 14x - 21 + 1 = 14x - 20 \)
   \( 14x - 20 = 14x - 20 \)
   \( 0 = 0 \)

Ответ: 1. x=3; 2. x=3; 3. x=2; 4. x=\(\frac{10}{3}\); 5. x=-\(\frac{24}{7}\); 6. x - любое число.