47-7(3x-1)=5(1+2x) eching

$$47 - 7 ( 3 x - 1 ) = 5 ( 1 + 2 x )$$

x uchun yechish

$$x = \frac{49}{31} = 1\frac{18}{31} \approx 1,580645161$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-7 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$47-21x+7=5\left(1+2x\right)$$

54 olish uchun 47 va 7'ni qo'shing.

$$54-21x=5\left(1+2x\right)$$

5 ga 1+2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$54-21x=5+10x$$

Ikkala tarafdan 10x ni ayirish.

$$54-21x-10x=5$$

-31x ni olish uchun -21x va -10x ni birlashtirish.

$$54-31x=5$$

Ikkala tarafdan 54 ni ayirish.

$$-31x=5-54$$

-49 olish uchun 5 dan 54 ni ayirish.

$$-31x=-49$$

Ikki tarafini -31 ga bo‘ling.

$$x=\frac{-49}{-31}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-49}{-31} kasrini \frac{49}{31} ga soddalashtirish mumkin.

$$x=\frac{49}{31}$$