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Вопрос:

Решите уравнение: (4x - 6) - (9x - 4) = 18

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Ответ ассистента

24. $(4x - 6) - (9x - 4) = 18$ $4x - 6 - 9x + 4 = 18$ $-5x - 2 = 18$ $-5x = 18 + 2$ $-5x = 20$ $x = 20 : (-5)$ $x = -4$ **Ответ: -4** 25. $x - 5(x + 3) = 5$ $x - 5x - 15 = 5$ $-4x - 15 = 5$ $-4x = 5 + 15$ $-4x = 20$ $x = 20 : (-4)$ $x = -5$ **Ответ: -5** 26. $3(5x + 8) - 7x = 6x$ $15x + 24 - 7x = 6x$ $8x + 24 = 6x$ $8x - 6x = -24$ $2x = -24$ $x = -24 : 2$ $x = -12$ **Ответ: -12** 27. $6x - 8 = 5x - 3(x - 4)$ $6x - 8 = 5x - 3x + 12$ $6x - 8 = 2x + 12$ $6x - 2x = 12 + 8$ $4x = 20$ $x = 20 : 4$ $x = 5$ **Ответ: 5** 28. $2(4x - 5) - 14 - 3x = 6$ $8x - 10 - 14 - 3x = 6$ $5x - 24 = 6$ $5x = 6 + 24$ $5x = 30$ $x = 30 : 5$ $x = 6$ **Ответ: 6** 29. $5(x - 4,4) = 9x$ $5x - 22 = 9x$ $5x - 9x = 22$ $-4x = 22$ $x = 22 : (-4)$ $x = -5,5$ **Ответ: -5,5** 30. $1 - 4(5 + 2x) = 13$ $1 - 20 - 8x = 13$ $-19 - 8x = 13$ $-8x = 13 + 19$ $-8x = 32$ $x = 32 : (-8)$ $x = -4$ **Ответ: -4** 31. $10 - 5(2x - 1) = 7$ $10 - 10x + 5 = 7$ $15 - 10x = 7$ $-10x = 7 - 15$ $-10x = -8$ $x = -8 : (-10)$ $x = 0,8$ **Ответ: 0,8** 32. $5 + 2x = 3(2x - 5) - 8$ $5 + 2x = 6x - 15 - 8$ $5 + 2x = 6x - 23$ $2x - 6x = -23 - 5$ $-4x = -28$ $x = -28 : (-4)$ $x = 7$ **Ответ: 7** 33. $5(x - 3,6) = 9x$ $5x - 18 = 9x$ $5x - 9x = 18$ $-4x = 18$ $x = 18 : (-4)$ $x = -4,5$ **Ответ: -4,5** 34. $5(x - 2,4) = 13x$ $5x - 12 = 13x$ $5x - 13x = 12$ $-8x = 12$ $x = 12 : (-8)$ $x = -1,5$ **Ответ: -1,5** 35. $16 + 6x = 5(1 - 2x) - 13$ $16 + 6x = 5 - 10x - 13$ $16 + 6x = -10x - 8$ $6x + 10x = -8 - 16$ $16x = -24$ $x = -24 : 16$ $x = -1,5$ **Ответ: -1,5** 36. $2(7x + 11) - 5x = 5x$ $14x + 22 - 5x = 5x$ $9x + 22 = 5x$ $9x - 5x = -22$ $4x = -22$ $x = -22 : 4$ $x = -5,5$ **Ответ: -5,5** 37. $2x - 3(x - 3) = 12$ $2x - 3x + 9 = 12$ $-x + 9 = 12$ $-x = 12 - 9$ $-x = 3$ $x = -3$ **Ответ: -3** 38. $18 - 5(9 - x) = 8$ $18 - 45 + 5x = 8$ $-27 + 5x = 8$ $5x = 8 + 27$ $5x = 35$ $x = 35 : 5$ $x = 7$ **Ответ: 7** 39. $-x = 4 - 3(3x - 8)$ $-x = 4 - 9x + 24$ $-x = 28 - 9x$ $-x + 9x = 28$ $8x = 28$ $x = 28 : 8$ $x = 3,5$ **Ответ: 3,5** 40. $2x - 3(x + 3) = -5$ $2x - 3x - 9 = -5$ $-x - 9 = -5$ $-x = -5 + 9$ $-x = 4$ $x = -4$ **Ответ: -4** 41. $10(2 - x) + 11x = -3x$ $20 - 10x + 11x = -3x$ $20 + x = -3x$ $x + 3x = -20$ $4x = -20$ $x = -20 : 4$ $x = -5$ **Ответ: -5** 42. $19 + x = 4(x - 3) + 7$ $19 + x = 4x - 12 + 7$ $19 + x = 4x - 5$ $x - 4x = -5 - 19$ $-3x = -24$ $x = -24 : (-3)$ $x = 8$ **Ответ: 8** 43. $4(14 + 4x) - 3x = 6x$ $56 + 16x - 3x = 6x$ $56 + 13x = 6x$ $13x - 6x = -56$ $7x = -56$ $x = -56 : 7$ $x = -8$ **Ответ: -8** 44. $6(3x + 1) - 3x = 11x$ $18x + 6 - 3x = 11x$ $15x + 6 = 11x$ $15x - 11x = -6$ $4x = -6$ $x = -6 : 4$ $x = -1,5$ **Ответ: -1,5** 45. $11 - 5x = 2(3 - 4x) - 16$ $11 - 5x = 6 - 8x - 16$ $11 - 5x = -8x - 10$ $-5x + 8x = -10 - 11$ $3x = -21$ $x = -21 : 3$ $x = -7$ **Ответ: -7** 46. $(7x - 8) - (2x - 5) = 17$ $7x - 8 - 2x + 5 = 17$ $5x - 3 = 17$ $5x = 17 + 3$ $5x = 20$ $x = 20 : 5$ $x = 4$ **Ответ: 4**

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