2+3(4+x)=1-5(6-x) eching

$$2+3(4+x)=1-5(6-x)$$

x uchun yechish

$$x = \frac{43}{2} = 21\frac{1}{2} = 21,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2+12+3x=1-5\left(6-x\right)$$

14 olish uchun 2 va 12'ni qo'shing.

$$14+3x=1-5\left(6-x\right)$$

-5 ga 6-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14+3x=1-30+5x$$

-29 olish uchun 1 dan 30 ni ayirish.

$$14+3x=-29+5x$$

Ikkala tarafdan 5x ni ayirish.

$$14+3x-5x=-29$$

-2x ni olish uchun 3x va -5x ni birlashtirish.

$$14-2x=-29$$

Ikkala tarafdan 14 ni ayirish.

$$-2x=-29-14$$

-43 olish uchun -29 dan 14 ni ayirish.

$$-2x=-43$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-43}{-2}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-43}{-2} kasrini \frac{43}{2} ga soddalashtirish mumkin.

$$x=\frac{43}{2}$$