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) = 5. 5x - 3(4x - 1) = 7 - 2( 6. -5,6(x - 3) + 2,1x = -3.

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. \( 4(3x + 5) - 5(4x - 3) = \)
    \( 12x + 20 - 20x + 15 = \)
    \( -8x + 35 \)
  5. \( 5x - 3(4x - 1) = 7 - 2( \)
    \( 5x - 12x + 3 = 7 - 2( \)
    \( -7x + 3 = 7 - 2( \)
  6. \( -5,6(x - 3) + 2,1x = -3. \)
    \( -5,6x + 16,8 + 2,1x = -3 \)
    \( -3,5x = -3 - 16,8 \)
    \( -3,5x = -19,8 \)
    \( x = \frac{-19,8}{-3,5} \)
    \( x \approx 5,66 \)

Ответ: 1. x = 2; 2. x = 1; 3. x = 2; 4. -8x + 35; 5. -7x + 3 = 7 - 2(; 6. x ≈ 5,66.