1) 3x-4(5x+2)-6(3x-4)=1 2) 2(6x-5)-7(3x-5)=4x-1 3) 3(2x+5)+6=3 4) 5x+18=7x+6(3x-4) 5) 3x-7(3x-4)=5(2x-7) 6) 13-3(5x+1)-6(4x-3)=5x 7) 4(x+2)-0,7=2(2x+4)+0,3 8) 7(2x-1)-3x=x-17 9) 5x-5(4x+3)=4-3(4x-7)

Решение:

1. \( 3x-4(5x+2)-6(3x-4)=1 \)
   \( 3x - 20x - 8 - 18x + 24 = 1 \)
   \( -35x + 16 = 1 \)
   \( -35x = 1 - 16 \)
   \( -35x = -15 \)
   \( x = \frac{-15}{-35} = \frac{3}{7} \)
2. \( 2(6x-5)-7(3x-5)=4x-1 \)
   \( 12x - 10 - 21x + 35 = 4x - 1 \)
   \( -9x + 25 = 4x - 1 \)
   \( 25 + 1 = 4x + 9x \)
   \( 26 = 13x \)
   \( x = \frac{26}{13} = 2 \)
3. \( 3(2x+5)+6=3 \)
   \( 6x + 15 + 6 = 3 \)
   \( 6x + 21 = 3 \)
   \( 6x = 3 - 21 \)
   \( 6x = -18 \)
   \( x = \frac{-18}{6} = -3 \)
4. \( 5x+18=7x+6(3x-4) \)
   \( 5x + 18 = 7x + 18x - 24 \)
   \( 5x + 18 = 25x - 24 \)
   \( 18 + 24 = 25x - 5x \)
   \( 42 = 20x \)
   \( x = \frac{42}{20} = \frac{21}{10} = 2,1 \)
5. \( 3x-7(3x-4)=5(2x-7) \)
   \( 3x - 21x + 28 = 10x - 35 \)
   \( -18x + 28 = 10x - 35 \)
   \( 28 + 35 = 10x + 18x \)
   \( 63 = 28x \)
   \( x = \frac{63}{28} = \frac{9}{4} = 2,25 \)
6. \( 13-3(5x+1)-6(4x-3)=5x \)
   \( 13 - 15x - 3 - 24x + 18 = 5x \)
   \( -39x + 28 = 5x \)
   \( 28 = 5x + 39x \)
   \( 28 = 44x \)
   \( x = \frac{28}{44} = \frac{7}{11} \)
7. \( 4(x+2)-0,7=2(2x+4)+0,3 \)
   \( 4x + 8 - 0,7 = 4x + 8 + 0,3 \)
   \( 4x + 7,3 = 4x + 8,3 \)
   \( 7,3 = 8,3 \) Это неверно, значит, уравнение не имеет решений.
8. \( 7(2x-1)-3x=x-17 \)
   \( 14x - 7 - 3x = x - 17 \)
   \( 11x - 7 = x - 17 \)
   \( 11x - x = -17 + 7 \)
   \( 10x = -10 \)
   \( x = \frac{-10}{10} = -1 \)
9. \( 5x-5(4x+3)=4-3(4x-7) \)
   \( 5x - 20x - 15 = 4 - 12x + 21 \)
   \( -15x - 15 = -12x + 25 \)
   \( -15 - 25 = -12x + 15x \)
   \( -40 = 3x \)
   \( x = \frac{-40}{3} \)

Ответ: 1) \( x = \frac{3}{7} \), 2) \( x = 2 \), 3) \( x = -3 \), 4) \( x = 2,1 \), 5) \( x = 2,25 \), 6) \( x = \frac{7}{11} \), 7) Решений нет, 8) \( x = -1 \), 9) \( x = -\frac{40}{3} \).