4*[9-5(x-2)]+3(3x-5)=2*[3(x-5)+17]-4 eching

$$4 \cdot [ 9 - 5 ( x - 2 ) ] + 3 ( 3 x - 5 ) = 2 \cdot [ 3 ( x - 5 ) + 17 ] - 4$$

x uchun yechish

$$x = \frac{61}{17} = 3\frac{10}{17} \approx 3,588235294$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-5 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4\left(9-5x+10\right)+3\left(3x-5\right)=2\left(3\left(x-5\right)+17\right)-4$$

19 olish uchun 9 va 10'ni qo'shing.

$$4\left(19-5x\right)+3\left(3x-5\right)=2\left(3\left(x-5\right)+17\right)-4$$

4 ga 19-5x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$76-20x+3\left(3x-5\right)=2\left(3\left(x-5\right)+17\right)-4$$

3 ga 3x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$76-20x+9x-15=2\left(3\left(x-5\right)+17\right)-4$$

-11x ni olish uchun -20x va 9x ni birlashtirish.

$$76-11x-15=2\left(3\left(x-5\right)+17\right)-4$$

61 olish uchun 76 dan 15 ni ayirish.

$$61-11x=2\left(3\left(x-5\right)+17\right)-4$$

3 ga x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$61-11x=2\left(3x-15+17\right)-4$$

2 olish uchun -15 va 17'ni qo'shing.

$$61-11x=2\left(3x+2\right)-4$$

2 ga 3x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$61-11x=6x+4-4$$

0 olish uchun 4 dan 4 ni ayirish.

$$61-11x=6x$$

Ikkala tarafdan 6x ni ayirish.

$$61-11x-6x=0$$

-17x ni olish uchun -11x va -6x ni birlashtirish.

$$61-17x=0$$

Ikkala tarafdan 61 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-17x=-61$$

Ikki tarafini -17 ga bo‘ling.

$$x=\frac{-61}{-17}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-61}{-17} kasrini \frac{61}{17} ga soddalashtirish mumkin.

$$x=\frac{61}{17}$$