Ответ:

Решение:

  1. \( \frac{x}{6} - 7 = 0 \)

  2. \( \frac{x}{6} = 7 \)
    \( x = 7 \cdot 6 \)
    \( x = 42 \)
  3. \( \frac{2x}{9} + 4 = 0 \)

  4. \( \frac{2x}{9} = -4 \)
    \( 2x = -4 \cdot 9 \)
    \( 2x = -36 \)
    \( x = -18 \)
  5. \( \frac{3x}{8} - 12 = 0 \)

  6. \( \frac{3x}{8} = 12 \)
    \( 3x = 12 \cdot 8 \)
    \( 3x = 96 \)
    \( x = 32 \)

Ответ: a) \( x = 42 \); б) \( x = -18 \); г) \( x = 32 \).