Вопрос:

Вариант 2. Найди значение x. 1. 4x + 9 = x + 18; x = 2. 6x - 5 = 2x + 7; x = 3. 7x + 8 = 5x + 2; x = 4. 5x + 1 = x + 9; x = 5. 8x - 6 = 3x + 4; x = 6. 9x + 7 = 4x + 32; x = 7. 3x - 4 = 2x - 9; x = 8. 2x + 5 = 6x - 7; x = 9. 7x - 3 = x - 15; x = 10. 5x + 6 = 3x - 8; x = 11. 6x - 9 = 4x + 3; x = 12. 8x + 2 = 6x + 10; x =

Ответ:

Решение:

  1. \( 4x + 9 = x + 18 \)
    \( 4x - x = 18 - 9 \)
    \( 3x = 9 \)
    \( x = \frac{9}{3} \)
    \( x = 3 \)
  2. \( 6x - 5 = 2x + 7 \)
    \( 6x - 2x = 7 + 5 \)
    \( 4x = 12 \)
    \( x = \frac{12}{4} \)
    \( x = 3 \)
  3. \( 7x + 8 = 5x + 2 \)
    \( 7x - 5x = 2 - 8 \)
    \( 2x = -6 \)
    \( x = \frac{-6}{2} \)
    \( x = -3 \)
  4. \( 5x + 1 = x + 9 \)
    \( 5x - x = 9 - 1 \)
    \( 4x = 8 \)
    \( x = \frac{8}{4} \)
    \( x = 2 \)
  5. \( 8x - 6 = 3x + 4 \)
    \( 8x - 3x = 4 + 6 \)
    \( 5x = 10 \)
    \( x = \frac{10}{5} \)
    \( x = 2 \)
  6. \( 9x + 7 = 4x + 32 \)
    \( 9x - 4x = 32 - 7 \)
    \( 5x = 25 \)
    \( x = \frac{25}{5} \)
    \( x = 5 \)
  7. \( 3x - 4 = 2x - 9 \)
    \( 3x - 2x = -9 + 4 \)
    \( x = -5 \)
  8. \( 2x + 5 = 6x - 7 \)
    \( 5 + 7 = 6x - 2x \)
    \( 12 = 4x \)
    \( x = \frac{12}{4} \)
    \( x = 3 \)
  9. \( 7x - 3 = x - 15 \)
    \( 7x - x = -15 + 3 \)
    \( 6x = -12 \)
    \( x = \frac{-12}{6} \)
    \( x = -2 \)
  10. \( 5x + 6 = 3x - 8 \)
    \( 5x - 3x = -8 - 6 \)
    \( 2x = -14 \)
    \( x = \frac{-14}{2} \)
    \( x = -7 \)
  11. \( 6x - 9 = 4x + 3 \)
    \( 6x - 4x = 3 + 9 \)
    \( 2x = 12 \)
    \( x = \frac{12}{2} \)
    \( x = 6 \)
  12. \( 8x + 2 = 6x + 10 \)
    \( 8x - 6x = 10 - 2 \)
    \( 2x = 8 \)
    \( x = \frac{8}{2} \)
    \( x = 4 \)

Ответ: 1. x = 3; 2. x = 3; 3. x = -3; 4. x = 2; 5. x = 2; 6. x = 5; 7. x = -5; 8. x = 3; 9. x = -2; 10. x = -7; 11. x = 6; 12. x = 4.