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

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

x uchun yechish

$$x<-40$$

Yechim qadamlari

-7 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2\left(5x-7x-14\right)>3\left(4-x\right)$$

-2x ni olish uchun 5x va -7x ni birlashtirish.

$$2\left(-2x-14\right)>3\left(4-x\right)$$

2 ga -2x-14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-4x-28>3\left(4-x\right)$$

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

$$-4x-28>12-3x$$

3x ni ikki tarafga qo’shing.

$$-4x-28+3x>12$$

-x ni olish uchun -4x va 3x ni birlashtirish.

$$-x-28>12$$

28 ni ikki tarafga qo’shing.

$$-x>12+28$$

40 olish uchun 12 va 28'ni qo'shing.

$$-x>40$$

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

$$x<-40$$