-4(x+2)+3(x-1)-2=4(x-2)+9 eching

$$-4(x+2)+3(x-1)-2=4(x-2)+9$$

x uchun yechish

$$x = -\frac{14}{5} = -2\frac{4}{5} = -2,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-4 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-4x-8+3\left(x-1\right)-2=4\left(x-2\right)+9$$

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

$$-4x-8+3x-3-2=4\left(x-2\right)+9$$

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

$$-x-8-3-2=4\left(x-2\right)+9$$

-11 olish uchun -8 dan 3 ni ayirish.

$$-x-11-2=4\left(x-2\right)+9$$

-13 olish uchun -11 dan 2 ni ayirish.

$$-x-13=4\left(x-2\right)+9$$

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

$$-x-13=4x-8+9$$

1 olish uchun -8 va 9'ni qo'shing.

$$-x-13=4x+1$$

Ikkala tarafdan 4x ni ayirish.

$$-x-13-4x=1$$

-5x ni olish uchun -x va -4x ni birlashtirish.

$$-5x-13=1$$

13 ni ikki tarafga qo’shing.

$$-5x=1+13$$

14 olish uchun 1 va 13'ni qo'shing.

$$-5x=14$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{14}{-5}$$

\frac{14}{-5} kasri manfiy belgini olib tashlash bilan -\frac{14}{5} sifatida qayta yozilishi mumkin.

$$x=-\frac{14}{5}$$