-5(8-4x)+3xleq7(3x-6) eching

$$- 5 ( 8 - 4 x ) + 3 x \leq 7 ( 3 x - 6 )$$

x uchun yechish

$$x\leq -1$$

Yechim qadamlari

-5 ga 8-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-40+20x+3x\leq 7\left(3x-6\right)$$

23x ni olish uchun 20x va 3x ni birlashtirish.

$$-40+23x\leq 7\left(3x-6\right)$$

7 ga 3x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-40+23x\leq 21x-42$$

Ikkala tarafdan 21x ni ayirish.

$$-40+23x-21x\leq -42$$

2x ni olish uchun 23x va -21x ni birlashtirish.

$$-40+2x\leq -42$$

40 ni ikki tarafga qo’shing.

$$2x\leq -42+40$$

-2 olish uchun -42 va 40'ni qo'shing.

$$2x\leq -2$$

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

$$x\leq \frac{-2}{2}$$

-1 ni olish uchun -2 ni 2 ga bo‘ling.

$$x\leq -1$$