7x+4(2x-5)>4(4x+3)-9 eching

$$7 x + 4 ( 2 x - 5 ) > 4 ( 4 x + 3 ) - 9$$

x uchun yechish

$$x<-23$$

Yechim qadamlari

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

$$7x+8x-20>4\left(4x+3\right)-9$$

15x ni olish uchun 7x va 8x ni birlashtirish.

$$15x-20>4\left(4x+3\right)-9$$

4 ga 4x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15x-20>16x+12-9$$

3 olish uchun 12 dan 9 ni ayirish.

$$15x-20>16x+3$$

Ikkala tarafdan 16x ni ayirish.

$$15x-20-16x>3$$

-x ni olish uchun 15x va -16x ni birlashtirish.

$$-x-20>3$$

20 ni ikki tarafga qo’shing.

$$-x>3+20$$

23 olish uchun 3 va 20'ni qo'shing.

$$-x>23$$

Ikki tarafini -1 ga bo‘ling. -1 manfiy boʻlgani uchun tengsizlikning yo‘nalishi o‘zgaradi.

$$x<-23$$