-6(x-3)-5=3(x-9)-1 eching

$$- 6 ( x - 3 ) - 5 = 3 ( x - 9 ) - 1$$

x uchun yechish

$$x = \frac{41}{9} = 4\frac{5}{9} \approx 4,555555556$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-6x+18-5=3\left(x-9\right)-1$$

13 olish uchun 18 dan 5 ni ayirish.

$$-6x+13=3\left(x-9\right)-1$$

3 ga x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-6x+13=3x-27-1$$

-28 olish uchun -27 dan 1 ni ayirish.

$$-6x+13=3x-28$$

Ikkala tarafdan 3x ni ayirish.

$$-6x+13-3x=-28$$

-9x ni olish uchun -6x va -3x ni birlashtirish.

$$-9x+13=-28$$

Ikkala tarafdan 13 ni ayirish.

$$-9x=-28-13$$

-41 olish uchun -28 dan 13 ni ayirish.

$$-9x=-41$$

Ikki tarafini -9 ga bo‘ling.

$$x=\frac{-41}{-9}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-41}{-9} kasrini \frac{41}{9} ga soddalashtirish mumkin.

$$x=\frac{41}{9}$$