3(x-1)+2(x-5)=7(x+11) eching

$$3(x-1)+2(x-5)=7(x+11)$$

x uchun yechish

$$x=-45$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x-3+2\left(x-5\right)=7\left(x+11\right)$$

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

$$3x-3+2x-10=7\left(x+11\right)$$

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

$$5x-3-10=7\left(x+11\right)$$

-13 olish uchun -3 dan 10 ni ayirish.

$$5x-13=7\left(x+11\right)$$

7 ga x+11 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x-13=7x+77$$

Ikkala tarafdan 7x ni ayirish.

$$5x-13-7x=77$$

-2x ni olish uchun 5x va -7x ni birlashtirish.

$$-2x-13=77$$

13 ni ikki tarafga qo’shing.

$$-2x=77+13$$

90 olish uchun 77 va 13'ni qo'shing.

$$-2x=90$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{90}{-2}$$

-45 ni olish uchun 90 ni -2 ga bo‘ling.

$$x=-45$$