2(x-1)-3(3x+1)geq-6(x-5) eching

$$2 ( x - 1 ) - 3 ( 3 x + 1 ) \geq - 6 ( x - 5 )$$

x uchun yechish

$$x\leq -35$$

Yechim qadamlari

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

$$2x-2-3\left(3x+1\right)\geq -6\left(x-5\right)$$

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

$$2x-2-9x-3\geq -6\left(x-5\right)$$

-7x ni olish uchun 2x va -9x ni birlashtirish.

$$-7x-2-3\geq -6\left(x-5\right)$$

-5 olish uchun -2 dan 3 ni ayirish.

$$-7x-5\geq -6\left(x-5\right)$$

-6 ga x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-7x-5\geq -6x+30$$

6x ni ikki tarafga qo’shing.

$$-7x-5+6x\geq 30$$

-x ni olish uchun -7x va 6x ni birlashtirish.

$$-x-5\geq 30$$

5 ni ikki tarafga qo’shing.

$$-x\geq 30+5$$

35 olish uchun 30 va 5'ni qo'shing.

$$-x\geq 35$$

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

$$x\leq -35$$