2(x+5)=2-3(2+3x) eching

$$2 ( x + 5 ) = 2 - 3 ( 2 + 3 x )$$

x uchun yechish

$$x = -\frac{14}{11} = -1\frac{3}{11} \approx -1,272727273$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x+10=2-3\left(2+3x\right)$$

-3 ga 2+3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+10=2-6-9x$$

-4 olish uchun 2 dan 6 ni ayirish.

$$2x+10=-4-9x$$

9x ni ikki tarafga qo’shing.

$$2x+10+9x=-4$$

11x ni olish uchun 2x va 9x ni birlashtirish.

$$11x+10=-4$$

Ikkala tarafdan 10 ni ayirish.

$$11x=-4-10$$

-14 olish uchun -4 dan 10 ni ayirish.

$$11x=-14$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{-14}{11}$$

\frac{-14}{11} kasri manfiy belgini olib tashlash bilan -\frac{14}{11} sifatida qayta yozilishi mumkin.

$$x=-\frac{14}{11}$$