(x+11)-2(x+2)=1-3(1-x)+4(2x-5) eching

$$( x + 11 ) - 2 ( x + 2 ) = 1 - 3 ( 1 - x ) + 4 ( 2 x - 5 )$$

x uchun yechish

$$x = \frac{29}{12} = 2\frac{5}{12} \approx 2,416666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x+11-2x-4=1-3\left(1-x\right)+4\left(2x-5\right)$$

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

$$-x+11-4=1-3\left(1-x\right)+4\left(2x-5\right)$$

7 olish uchun 11 dan 4 ni ayirish.

$$-x+7=1-3\left(1-x\right)+4\left(2x-5\right)$$

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

$$-x+7=1-3+3x+4\left(2x-5\right)$$

-2 olish uchun 1 dan 3 ni ayirish.

$$-x+7=-2+3x+4\left(2x-5\right)$$

4 ga 2x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x+7=-2+3x+8x-20$$

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

$$-x+7=-2+11x-20$$

-22 olish uchun -2 dan 20 ni ayirish.

$$-x+7=-22+11x$$

Ikkala tarafdan 11x ni ayirish.

$$-x+7-11x=-22$$

-12x ni olish uchun -x va -11x ni birlashtirish.

$$-12x+7=-22$$

Ikkala tarafdan 7 ni ayirish.

$$-12x=-22-7$$

-29 olish uchun -22 dan 7 ni ayirish.

$$-12x=-29$$

Ikki tarafini -12 ga bo‘ling.

$$x=\frac{-29}{-12}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-29}{-12} kasrini \frac{29}{12} ga soddalashtirish mumkin.

$$x=\frac{29}{12}$$