Вопрос:

Вариант 1. Найди значение x. 1. 5x + 3 = 2x + 18; x = 2. 7x - 4 = 3x + 8; x = 3. 6x + 5 = x + 15; x = 4. 8x - 9 = 4x + 7; x = 5. 9x + 6 = 6x + 12; x = 6. 4x + 10 = 2x + 2; x = 7. 3x - 5 = x + 1; x = 8. 2x + 7 = 5x - 2; x = 9. 7x + 1 = x + 13; x = 10. 5x - 6 = 2x - 24; x = 11. 6x + 8 = 4x - 2; x = 12. 8x + 4 = 3x + 29; x =

Ответ:

Решение:

  1. \( 5x + 3 = 2x + 18 \)
    \( 5x - 2x = 18 - 3 \)
    \( 3x = 15 \)
    \( x = \frac{15}{3} \)
    \( x = 5 \)
  2. \( 7x - 4 = 3x + 8 \)
    \( 7x - 3x = 8 + 4 \)
    \( 4x = 12 \)
    \( x = \frac{12}{4} \)
    \( x = 3 \)
  3. \( 6x + 5 = x + 15 \)
    \( 6x - x = 15 - 5 \)
    \( 5x = 10 \)
    \( x = \frac{10}{5} \)
    \( x = 2 \)
  4. \( 8x - 9 = 4x + 7 \)
    \( 8x - 4x = 7 + 9 \)
    \( 4x = 16 \)
    \( x = \frac{16}{4} \)
    \( x = 4 \)
  5. \( 9x + 6 = 6x + 12 \)
    \( 9x - 6x = 12 - 6 \)
    \( 3x = 6 \)
    \( x = \frac{6}{3} \)
    \( x = 2 \)
  6. \( 4x + 10 = 2x + 2 \)
    \( 4x - 2x = 2 - 10 \)
    \( 2x = -8 \)
    \( x = \frac{-8}{2} \)
    \( x = -4 \)
  7. \( 3x - 5 = x + 1 \)
    \( 3x - x = 1 + 5 \)
    \( 2x = 6 \)
    \( x = \frac{6}{2} \)
    \( x = 3 \)
  8. \( 2x + 7 = 5x - 2 \)
    \( 7 + 2 = 5x - 2x \)
    \( 9 = 3x \)
    \( x = \frac{9}{3} \)
    \( x = 3 \)
  9. \( 7x + 1 = x + 13 \)
    \( 7x - x = 13 - 1 \)
    \( 6x = 12 \)
    \( x = \frac{12}{6} \)
    \( x = 2 \)
  10. \( 5x - 6 = 2x - 24 \)
    \( 5x - 2x = -24 + 6 \)
    \( 3x = -18 \)
    \( x = \frac{-18}{3} \)
    \( x = -6 \)
  11. \( 6x + 8 = 4x - 2 \)
    \( 6x - 4x = -2 - 8 \)
    \( 2x = -10 \)
    \( x = \frac{-10}{2} \)
    \( x = -5 \)
  12. \( 8x + 4 = 3x + 29 \)
    \( 8x - 3x = 29 - 4 \)
    \( 5x = 25 \)
    \( x = \frac{25}{5} \)
    \( x = 5 \)

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