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Вопрос:

Решите уравнения: 1) 2x-3(3x+1)=11; 2) 2(4x-5)-14-3x=6; 3) 13-6(3-x)=25 и др.

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Ответ ассистента

1. $2x - 3(3x + 1) = 11$ $2x - 9x - 3 = 11 \Rightarrow -7x = 14 \Rightarrow x = -2$ 2. $2(4x - 5) - 14 - 3x = 6$ $8x - 10 - 14 - 3x = 6 \Rightarrow 5x - 24 = 6 \Rightarrow 5x = 30 \Rightarrow x = 6$ 3. $13 - 6(3 - x) = 25$ $13 - 18 + 6x = 25 \Rightarrow -5 + 6x = 25 \Rightarrow 6x = 30 \Rightarrow x = 5$ 4. $2 + 4(5 - 2x) = 8$ $2 + 20 - 8x = 8 \Rightarrow 22 - 8x = 8 \Rightarrow -8x = -14 \Rightarrow x = 1,75$ 5. $5 = 12 - 5(4x - 1)$ $5 = 12 - 20x + 5 \Rightarrow 5 = 17 - 20x \Rightarrow 20x = 12 \Rightarrow x = 0,6$ 6. $2x - 3(x + 3) = -5$ $2x - 3x - 9 = -5 \Rightarrow -x = 4 \Rightarrow x = -4$ 7. $15 - 4(7 - x) = 11$ $15 - 28 + 4x = 11 \Rightarrow -13 + 4x = 11 \Rightarrow 4x = 24 \Rightarrow x = 6$ 8. $2(1 - 4x) - 12 + 3x = 15$ $2 - 8x - 12 + 3x = 15 \Rightarrow -5x - 10 = 15 \Rightarrow -5x = 25 \Rightarrow x = -5$ 9. $(7x - 8) - (2x - 5) = 17$ $7x - 8 - 2x + 5 = 17 \Rightarrow 5x - 3 = 17 \Rightarrow 5x = 20 \Rightarrow x = 4$ 10. $3(8 + x) - 6x = 3$ $24 + 3x - 6x = 3 \Rightarrow -3x = -21 \Rightarrow x = 7$ 11. $-7x = 13 - 2(8x - 7)$ $-7x = 13 - 16x + 14 \Rightarrow 9x = 27 \Rightarrow x = 3$ 12. $2(4 + 3x) = -x - 13$ $8 + 6x = -x - 13 \Rightarrow 7x = -21 \Rightarrow x = -3$ 13. $12 - 8(4 - x) = 4$ $12 - 32 + 8x = 4 \Rightarrow -20 + 8x = 4 \Rightarrow 8x = 24 \Rightarrow x = 3$ 14. $4(3 - 4x) - 3 = 5$ $12 - 16x - 3 = 5 \Rightarrow 9 - 16x = 5 \Rightarrow -16x = -4 \Rightarrow x = 0,25$ 15. $19 + x = 4(x - 3) + 7$ $19 + x = 4x - 12 + 7 \Rightarrow 19 + x = 4x - 5 \Rightarrow -3x = -24 \Rightarrow x = 8$

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