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

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

x uchun yechish

$$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1,166666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

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

$$5x-3=4x-5x-10$$

-x ni olish uchun 4x va -5x ni birlashtirish.

$$5x-3=-x-10$$

x ni ikki tarafga qo’shing.

$$5x-3+x=-10$$

6x ni olish uchun 5x va x ni birlashtirish.

$$6x-3=-10$$

3 ni ikki tarafga qo’shing.

$$6x=-10+3$$

-7 olish uchun -10 va 3'ni qo'shing.

$$6x=-7$$

Ikki tarafini 6 ga bo‘ling.

$$x=\frac{-7}{6}$$

\frac{-7}{6} kasri manfiy belgini olib tashlash bilan -\frac{7}{6} sifatida qayta yozilishi mumkin.

$$x=-\frac{7}{6}$$