2(85x-7(x+2)]>3(4-x) eching

$$2 ( 85 x - 7 ( x + 2 ) ] > 3 ( 4 - x )$$

x uchun yechish

$$x>\frac{40}{159}$$

Yechim qadamlari

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

$$2\left(85x-7x-14\right)>3\left(4-x\right)$$

78x ni olish uchun 85x va -7x ni birlashtirish.

$$2\left(78x-14\right)>3\left(4-x\right)$$

2 ga 78x-14 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$156x-28>3\left(4-x\right)$$

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

$$156x-28>12-3x$$

3x ni ikki tarafga qo’shing.

$$156x-28+3x>12$$

159x ni olish uchun 156x va 3x ni birlashtirish.

$$159x-28>12$$

28 ni ikki tarafga qo’shing.

$$159x>12+28$$

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

$$159x>40$$

Ikki tarafini 159 ga bo‘ling. 159 >0 bo‘lganda, tengsizlikning yo‘nalishi o‘zgarmasdan qoladi.

$$x>\frac{40}{159}$$