x-1/3left(x-1/3left(x-9right)right)=1/9left(x-9right) eching

$$x- \frac{ 1 }{ 3 } \left( x- \frac{ 1 }{ 3 } \left( x-9 \right) \right) = \frac{ 1 }{ 9 } \left( x-9 \right)$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{1}{3} ga x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-\frac{1}{3}\left(x-\frac{1}{3}x-\frac{1}{3}\left(-9\right)\right)=\frac{1}{9}\left(x-9\right)$$

-\frac{1}{3}\left(-9\right) ni yagona kasrga aylantiring.

$$x-\frac{1}{3}\left(x-\frac{1}{3}x+\frac{-\left(-9\right)}{3}\right)=\frac{1}{9}\left(x-9\right)$$

9 hosil qilish uchun -1 va -9 ni ko'paytirish.

$$x-\frac{1}{3}\left(x-\frac{1}{3}x+\frac{9}{3}\right)=\frac{1}{9}\left(x-9\right)$$

3 ni olish uchun 9 ni 3 ga bo‘ling.

$$x-\frac{1}{3}\left(x-\frac{1}{3}x+3\right)=\frac{1}{9}\left(x-9\right)$$

\frac{2}{3}x ni olish uchun x va -\frac{1}{3}x ni birlashtirish.

$$x-\frac{1}{3}\left(\frac{2}{3}x+3\right)=\frac{1}{9}\left(x-9\right)$$

-\frac{1}{3} ga \frac{2}{3}x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-\frac{1}{3}\times \frac{2}{3}x-\frac{1}{3}\times 3=\frac{1}{9}\left(x-9\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{3} ni \frac{2}{3} ga ko‘paytiring.

$$x+\frac{-2}{3\times 3}x-\frac{1}{3}\times 3=\frac{1}{9}\left(x-9\right)$$

\frac{-2}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x+\frac{-2}{9}x-\frac{1}{3}\times 3=\frac{1}{9}\left(x-9\right)$$

\frac{-2}{9} kasri manfiy belgini olib tashlash bilan -\frac{2}{9} sifatida qayta yozilishi mumkin.

$$x-\frac{2}{9}x-\frac{1}{3}\times 3=\frac{1}{9}\left(x-9\right)$$

3 va 3 ni qisqartiring.

$$x-\frac{2}{9}x-1=\frac{1}{9}\left(x-9\right)$$

\frac{7}{9}x ni olish uchun x va -\frac{2}{9}x ni birlashtirish.

$$\frac{7}{9}x-1=\frac{1}{9}\left(x-9\right)$$

\frac{1}{9} ga x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{7}{9}x-1=\frac{1}{9}x+\frac{1}{9}\left(-9\right)$$

\frac{-9}{9} hosil qilish uchun \frac{1}{9} va -9 ni ko'paytirish.

$$\frac{7}{9}x-1=\frac{1}{9}x+\frac{-9}{9}$$

-1 ni olish uchun -9 ni 9 ga bo‘ling.

$$\frac{7}{9}x-1=\frac{1}{9}x-1$$

Ikkala tarafdan \frac{1}{9}x ni ayirish.

$$\frac{7}{9}x-1-\frac{1}{9}x=-1$$

\frac{2}{3}x ni olish uchun \frac{7}{9}x va -\frac{1}{9}x ni birlashtirish.

$$\frac{2}{3}x-1=-1$$

1 ni ikki tarafga qo’shing.

$$\frac{2}{3}x=-1+1$$

0 olish uchun -1 va 1'ni qo'shing.

$$\frac{2}{3}x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. \frac{2}{3} 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$