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

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

x uchun yechish

$$x=-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$5x-15+2\left(x+1\right)=3\left(x-7\right)$$

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

$$5x-15+2x+2=3\left(x-7\right)$$

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

$$7x-15+2=3\left(x-7\right)$$

-13 olish uchun -15 va 2'ni qo'shing.

$$7x-13=3\left(x-7\right)$$

3 ga x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x-13=3x-21$$

Ikkala tarafdan 3x ni ayirish.

$$7x-13-3x=-21$$

4x ni olish uchun 7x va -3x ni birlashtirish.

$$4x-13=-21$$

13 ni ikki tarafga qo’shing.

$$4x=-21+13$$

-8 olish uchun -21 va 13'ni qo'shing.

$$4x=-8$$

Ikki tarafini 4 ga bo‘ling.

$$x=\frac{-8}{4}$$

-2 ni olish uchun -8 ni 4 ga bo‘ling.

$$x=-2$$