-1/3(-6-9x)+100x-(x+1)=3(33x+4)-2 eching

$$- \frac { 1 } { 3 } ( - 6 - 9 x ) + 100 x - ( x + 1 ) = 3 ( 33 x + 4 ) - 2$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{1}{3} ga -6-9x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{1}{3}\left(-6\right)-\frac{1}{3}\left(-9\right)x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

-\frac{1}{3}\left(-6\right) ni yagona kasrga aylantiring.

$$\frac{-\left(-6\right)}{3}-\frac{1}{3}\left(-9\right)x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

6 hosil qilish uchun -1 va -6 ni ko'paytirish.

$$\frac{6}{3}-\frac{1}{3}\left(-9\right)x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

2 ni olish uchun 6 ni 3 ga bo‘ling.

$$2-\frac{1}{3}\left(-9\right)x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

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

$$2+\frac{-\left(-9\right)}{3}x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

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

$$2+\frac{9}{3}x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

3 ni olish uchun 9 ni 3 ga bo‘ling.

$$2+3x+100x-\left(x+1\right)=3\left(33x+4\right)-2$$

103x ni olish uchun 3x va 100x ni birlashtirish.

$$2+103x-\left(x+1\right)=3\left(33x+4\right)-2$$

x+1 teskarisini topish uchun har birining teskarisini toping.

$$2+103x-x-1=3\left(33x+4\right)-2$$

102x ni olish uchun 103x va -x ni birlashtirish.

$$2+102x-1=3\left(33x+4\right)-2$$

1 olish uchun 2 dan 1 ni ayirish.

$$1+102x=3\left(33x+4\right)-2$$

3 ga 33x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1+102x=99x+12-2$$

10 olish uchun 12 dan 2 ni ayirish.

$$1+102x=99x+10$$

Ikkala tarafdan 99x ni ayirish.

$$1+102x-99x=10$$

3x ni olish uchun 102x va -99x ni birlashtirish.

$$1+3x=10$$

Ikkala tarafdan 1 ni ayirish.

$$3x=10-1$$

9 olish uchun 10 dan 1 ni ayirish.

$$3x=9$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{9}{3}$$

3 ni olish uchun 9 ni 3 ga bo‘ling.

$$x=3$$