Вопрос:

32. Тип 8 № 13011. Решите уравнение: 5 + 2x = 3(2x - 5) - 8.

32. Тип 8 № 13011. Решите уравнение: 5 + 2x = 3(2x - 5) - 8.
Фотография

Ответ ассистента

32. $5 + 2x = 3(2x - 5) - 8 \Rightarrow 5 + 2x = 6x - 15 - 8 \Rightarrow 5 + 2x = 6x - 23 \Rightarrow 2x - 6x = -23 - 5 \Rightarrow -4x = -28 \Rightarrow x = 7$. 33. $5(x - 3,6) = 9x \Rightarrow 5x - 18 = 9x \Rightarrow 5x - 9x = 18 \Rightarrow -4x = 18 \Rightarrow x = -4,5$. 34. $5(x - 2,4) = 13x \Rightarrow 5x - 12 = 13x \Rightarrow 5x - 13x = 12 \Rightarrow -8x = 12 \Rightarrow x = -1,5$. 35. $16 + 6x = 5(1 - 2x) - 13 \Rightarrow 16 + 6x = 5 - 10x - 13 \Rightarrow 6x + 10x = 5 - 13 - 16 \Rightarrow 16x = -24 \Rightarrow x = -1,5$. 36. $2(7x + 11) - 5x = 5x \Rightarrow 14x + 22 - 5x = 5x \Rightarrow 9x + 22 = 5x \Rightarrow 9x - 5x = -22 \Rightarrow 4x = -22 \Rightarrow x = -5,5$. 37. $2x - 3(x - 3) = 12 \Rightarrow 2x - 3x + 9 = 12 \Rightarrow -x = 12 - 9 \Rightarrow -x = 3 \Rightarrow x = -3$. 38. $18 - 5(9 - x) = 8 \Rightarrow 18 - 45 + 5x = 8 \Rightarrow -27 + 5x = 8 \Rightarrow 5x = 8 + 27 \Rightarrow 5x = 35 \Rightarrow x = 7$. 39. $-x = 4 - 3(3x - 8) \Rightarrow -x = 4 - 9x + 24 \Rightarrow -x + 9x = 28 \Rightarrow 8x = 28 \Rightarrow x = 3,5$. 40. $2x - 3(x + 3) = -5 \Rightarrow 2x - 3x - 9 = -5 \Rightarrow -x = -5 + 9 \Rightarrow -x = 4 \Rightarrow x = -4$. 41. $10(2 - x) + 11x = -3x \Rightarrow 20 - 10x + 11x = -3x \Rightarrow 20 + x = -3x \Rightarrow x + 3x = -20 \Rightarrow 4x = -20 \Rightarrow x = -5$. 42. $19 + x = 4(x - 3) + 7 \Rightarrow 19 + x = 4x - 12 + 7 \Rightarrow 19 + x = 4x - 5 \Rightarrow x - 4x = -5 - 19 \Rightarrow -3x = -24 \Rightarrow x = 8$. 43. $4(14 + 4x) - 3x = 6x \Rightarrow 56 + 16x - 3x = 6x \Rightarrow 56 + 13x = 6x \Rightarrow 13x - 6x = -56 \Rightarrow 7x = -56 \Rightarrow x = -8$. 44. $6(3x + 1) - 3x = 11x \Rightarrow 18x + 6 - 3x = 11x \Rightarrow 15x + 6 = 11x \Rightarrow 15x - 11x = -6 \Rightarrow 4x = -6 \Rightarrow x = -1,5$. 45. $11 - 5x = 2(3 - 4x) - 16 \Rightarrow 11 - 5x = 6 - 8x - 16 \Rightarrow 11 - 5x = -10 - 8x \Rightarrow -5x + 8x = -10 - 11 \Rightarrow 3x = -21 \Rightarrow x = -7$. 46. $(7x - 8) - (2x - 5) = 17 \Rightarrow 7x - 8 - 2x + 5 = 17 \Rightarrow 5x - 3 = 17 \Rightarrow 5x = 20 \Rightarrow x = 4$. 47. $2(1 - 4x) - 12 + 3x = 15 \Rightarrow 2 - 8x - 12 + 3x = 15 \Rightarrow -5x - 10 = 15 \Rightarrow -5x = 25 \Rightarrow x = -5$.

Другие решения

Что ещё задавали пользователи