Вопрос:

1) 7-2x=9-3x 2) 11x=6+5(2x-1) 3) 6(2x-3)-3x=2x-4 4) 4(3x+5)-5(4x-3)=3 5) 5x-3(4x-1)=7-2(7x+2) 6) -5.6(x-3)+2.1x=-3.5x+10

Ответ:

Решение:

  1. \( 7 - 2x = 9 - 3x \)
    \( 3x - 2x = 9 - 7 \)
    \( x = 2 \)
  2. \( 11x = 6 + 5(2x - 1) \)
    \( 11x = 6 + 10x - 5 \)
    \( 11x - 10x = 1 \)
    \( x = 1 \)
  3. \( 6(2x - 3) - 3x = 2x - 4 \)
    \( 12x - 18 - 3x = 2x - 4 \)
    \( 9x - 18 = 2x - 4 \)
    \( 9x - 2x = 18 - 4 \)
    \( 7x = 14 \)
    \( x = 2 \)
  4. \( 4(3x + 5) - 5(4x - 3) = 3 \)
    \( 12x + 20 - 20x + 15 = 3 \)
    \( -8x + 35 = 3 \)
    \( -8x = 3 - 35 \)
    \( -8x = -32 \)
    \( x = 4 \)
  5. \( 5x - 3(4x - 1) = 7 - 2(7x + 2) \)
    \( 5x - 12x + 3 = 7 - 14x - 4 \)
    \( -7x + 3 = 3 - 14x \)
    \( -7x + 14x = 3 - 3 \)
    \( 7x = 0 \)
    \( x = 0 \)
  6. \( -5.6(x - 3) + 2.1x = -3.5x + 10 \)
    \( -5.6x + 16.8 + 2.1x = -3.5x + 10 \)
    \( -3.5x + 16.8 = -3.5x + 10 \)
    \( 16.8 = 10 \)

Ответ: 1) x = 2; 2) x = 1; 3) x = 2; 4) x = 4; 5) x = 0; 6) Нет решений.