x+12-2(1-x)=4(x+4)-12(x+1) eching

$$x + 12 - 2 ( 1 - x ) = 4 ( x + 4 ) - 12 ( x + 1 )$$

x uchun yechish

$$x=-\frac{6}{11}\approx -0,545454545$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-2 ga 1-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x+12-2+2x=4\left(x+4\right)-12\left(x+1\right)$$

10 olish uchun 12 dan 2 ni ayirish.

$$x+10+2x=4\left(x+4\right)-12\left(x+1\right)$$

3x ni olish uchun x va 2x ni birlashtirish.

$$3x+10=4\left(x+4\right)-12\left(x+1\right)$$

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

$$3x+10=4x+16-12\left(x+1\right)$$

-12 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x+10=4x+16-12x-12$$

-8x ni olish uchun 4x va -12x ni birlashtirish.

$$3x+10=-8x+16-12$$

4 olish uchun 16 dan 12 ni ayirish.

$$3x+10=-8x+4$$

8x ni ikki tarafga qo’shing.

$$3x+10+8x=4$$

11x ni olish uchun 3x va 8x ni birlashtirish.

$$11x+10=4$$

Ikkala tarafdan 10 ni ayirish.

$$11x=4-10$$

-6 olish uchun 4 dan 10 ni ayirish.

$$11x=-6$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{-6}{11}$$

\frac{-6}{11} kasri manfiy belgini olib tashlash bilan -\frac{6}{11} sifatida qayta yozilishi mumkin.

$$x=-\frac{6}{11}$$