Вопрос:

Реши уравнения: (7x-8) - (2x-5) = 17

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Ответ ассистента

Конечно, решим уравнения! Давай по порядку: 1. $(7x - 8) - (2x - 5) = 17$ $7x - 8 - 2x + 5 = 17$ $5x - 3 = 17$ $5x = 20$ **$x = 4$** 2. $2(1 - 4x) - 12 + 3x = 15$ $2 - 8x - 12 + 3x = 15$ $-5x - 10 = 15$ $-5x = 25$ **$x = -5$** 3. $(4x - 6) - (9x - 4) = 18$ $4x - 6 - 9x + 4 = 18$ $-5x - 2 = 18$ $-5x = 20$ **$x = -4$** 4. $11 - 5x = 2(3 - 4x) - 16$ $11 - 5x = 6 - 8x - 16$ $11 - 5x = -10 - 8x$ $3x = -21$ **$x = -7$** 5. $2(4x - 5) - 14 - 3x = 6$ $8x - 10 - 14 - 3x = 6$ $5x - 24 = 6$ $5x = 30$ **$x = 6$** 6. $18 - 5(9 - x) = 8$ $18 - 45 + 5x = 8$ $-27 + 5x = 8$ $5x = 35$ **$x = 7$** 7. $3x - 2(3x + 4) = 10$ $3x - 6x - 8 = 10$ $-3x - 8 = 10$ $-3x = 18$ **$x = -6$** 8. $15 - 4(7 - x) = 11$ $15 - 28 + 4x = 11$ $-13 + 4x = 11$ $4x = 24$ **$x = 6$** 9. $5(1 - 2x) - 9 + 3x = 24$ $5 - 10x - 9 + 3x = 24$ $-4 - 7x = 24$ $-7x = 28$ **$x = -4$** 10. $2 - 3(2 + 3x) = 14$ $2 - 6 - 9x = 14$ $-4 - 9x = 14$ $-9x = 18$ **$x = -2$** 11. $3(3 - 2x) + 8 + 2x = 5$ $9 - 6x + 8 + 2x = 5$ $17 - 4x = 5$ $-4x = -12$ **$x = 3$** 12. $7 - 3(5x - 3) = -11x$ $7 - 15x + 9 = -11x$ $16 - 15x = -11x$ $16 = 4x$ **$x = 4$** 13. $2x - 3(x + 3) = -5$ $2x - 3x - 9 = -5$ $-x - 9 = -5$ $-x = 4$ **$x = -4$** 14. $18 - 7x = 10 - 3(x + 4)$ $18 - 7x = 10 - 3x - 12$ $18 - 7x = -2 - 3x$ $20 = 4x$ **$x = 5$** 15. $2x - 3(3x + 1) = 11$ $2x - 9x - 3 = 11$ $-7x = 14$ **$x = -2$** 16. $-5x = 11 - 2(4x - 2)$ $-5x = 11 - 8x + 4$ $-5x = 15 - 8x$ $3x = 15$ **$x = 5$** 17. $3x - 2(3x - 2) = 19$ $3x - 6x + 4 = 19$ $-3x = 15$ **$x = -5$** 18. $5 + 2x = 3(2x - 5) - 8$ $5 + 2x = 6x - 15 - 8$ $5 + 2x = 6x - 23$ $28 = 4x$ **$x = 7$** 19. $5(x - 3) + 7 - 2x = 16$ $5x - 15 + 7 - 2x = 16$ $3x - 8 = 16$ $3x = 24$ **$x = 8$** 20. $x - 5(x + 3) = 5$ $x - 5x - 15 = 5$ $-4x = 20$ **$x = -5$** 21. $8x - 18 = 6x - 2(x - 5)$ $8x - 18 = 6x - 2x + 10$ $8x - 18 = 4x + 10$ $4x = 28$ **$x = 7$** 22. $7x - 15 = 4x - 3(x - 3)$ $7x - 15 = 4x - 3x + 9$ $7x - 15 = x + 9$ $6x = 24$ **$x = 4$** 23. $13 - 6(3 - x) = 25$ $13 - 18 + 6x = 25$ $-5 + 6x = 25$ $6x = 30$ **$x = 5$** 24. $1 - 2(5 + 3x) = 15$ $1 - 10 - 6x = 15$ $-9 - 6x = 15$ $-6x = 24$ **$x = -4$** 25. $-4x = 15 - 3(3x - 5)$ $-4x = 15 - 9x + 15$ $-4x = 30 - 9x$ $5x = 30$ **$x = 6$** 26. $x - 2(3x + 2) = 16$ $x - 6x - 4 = 16$ $-5x = 20$ **$x = -4$** 27. $16 - 7(5 - x) = 9$ $16 - 35 + 7x = 9$ $-19 + 7x = 9$ $7x = 28$ **$x = 4$** 28. $3(5x + 8) - 7x = 6x$ $15x + 24 - 7x = 6x$ $8x + 24 = 6x$ $2x = -24$ **$x = -12$** 29. $10 - 5(2x - 1) = 7$ $10 - 10x + 5 = 7$ $15 - 10x = 7$ $-10x = -8$ **$x = 0.8$**

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