Вопрос:

Решите уравнения: 1. 1 – 2(5 +3x) = 15. 2. 2 – 3(7 + 2x) = 11. 3. x − 2(3x + 2) = 16. 4. 3x - 2(3x + 4) = 10. 5. 2x – 3(3x + 1) = 11. 6. 3x – 2(3x – 2) = 19. 7. −4x = 15 – 3(3x – 5) 8. −7x = 13 – 2(8x – 7). 9. −5x = 11 – 2(4x – 2). 10. 7 – 3(5x − 3) = −11x. 11. 13 – 6(3 – x) = 25. 12. 12 – 8(4 – x) = 4. 13. 6 – 5(4x − 1) = 3. 14. 6 = 8 - 5(7x – 1). 15. 4 = 7 – 6(5x – 1).

Ответ:

Решим каждое уравнение по шагам: 1. 1 – 2(5 +3x) = 15 1 - 10 - 6x = 15 -9 - 6x = 15 -6x = 15 + 9 -6x = 24 x = 24 / (-6) x = -4 2. 2 – 3(7 + 2x) = 11 2 - 21 - 6x = 11 -19 - 6x = 11 -6x = 11 + 19 -6x = 30 x = 30 / (-6) x = -5 3. x − 2(3x + 2) = 16 x - 6x - 4 = 16 -5x - 4 = 16 -5x = 16 + 4 -5x = 20 x = 20 / (-5) x = -4 4. 3x - 2(3x + 4) = 10 3x - 6x - 8 = 10 -3x - 8 = 10 -3x = 10 + 8 -3x = 18 x = 18 / (-3) x = -6 5. 2x – 3(3x + 1) = 11 2x - 9x - 3 = 11 -7x - 3 = 11 -7x = 11 + 3 -7x = 14 x = 14 / (-7) x = -2 6. 3x – 2(3x – 2) = 19 3x - 6x + 4 = 19 -3x + 4 = 19 -3x = 19 - 4 -3x = 15 x = 15 / (-3) x = -5 7. −4x = 15 – 3(3x – 5) -4x = 15 - 9x + 15 -4x = 30 - 9x -4x + 9x = 30 5x = 30 x = 30 / 5 x = 6 8. −7x = 13 – 2(8x – 7) -7x = 13 - 16x + 14 -7x = 27 - 16x -7x + 16x = 27 9x = 27 x = 27 / 9 x = 3 9. −5x = 11 – 2(4x – 2) -5x = 11 - 8x + 4 -5x = 15 - 8x -5x + 8x = 15 3x = 15 x = 15 / 3 x = 5 10. 7 – 3(5x − 3) = −11x 7 - 15x + 9 = -11x 16 - 15x = -11x 16 = -11x + 15x 16 = 4x x = 16 / 4 x = 4 11. 13 – 6(3 – x) = 25 13 - 18 + 6x = 25 -5 + 6x = 25 6x = 25 + 5 6x = 30 x = 30 / 6 x = 5 12. 12 – 8(4 – x) = 4 12 - 32 + 8x = 4 -20 + 8x = 4 8x = 4 + 20 8x = 24 x = 24 / 8 x = 3 13. 6 – 5(4x − 1) = 3 6 - 20x + 5 = 3 11 - 20x = 3 -20x = 3 - 11 -20x = -8 x = -8 / (-20) x = 2/5 x = 0.4 14. 6 = 8 - 5(7x – 1) 6 = 8 - 35x + 5 6 = 13 - 35x 35x = 13 - 6 35x = 7 x = 7 / 35 x = 1/5 x = 0.2 15. 4 = 7 – 6(5x – 1) 4 = 7 - 30x + 6 4 = 13 - 30x 30x = 13 - 4 30x = 9 x = 9 / 30 x = 3 / 10 x = 0.3
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