-3(2x-1)<-2[4+4(x+2)] eching

$$- 3 ( 2 x - 1 ) < - 2 [ 4 + 4 ( x + 2 ) ]$$

x uchun yechish

$$x<-\frac{27}{2}$$

Yechim qadamlari

-3 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6x+3<-2\left(4+4\left(x+2\right)\right)$$

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

$$-6x+3<-2\left(4+4x+8\right)$$

12 olish uchun 4 va 8'ni qo'shing.

$$-6x+3<-2\left(12+4x\right)$$

-2 ga 12+4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6x+3<-24-8x$$

8x ni ikki tarafga qo’shing.

$$-6x+3+8x<-24$$

2x ni olish uchun -6x va 8x ni birlashtirish.

$$2x+3<-24$$

Ikkala tarafdan 3 ni ayirish.

$$2x<-24-3$$

-27 olish uchun -24 dan 3 ni ayirish.

$$2x<-27$$

Ikki tarafini 2 ga bo‘ling. 2 musbat bo‘lgani uchun, tengsizlik yo‘nalishi o‘zgarmaydi.

$$x<-\frac{27}{2}$$