2(3x+2)-3(5x-6)+4(7x+8)=111 eching

$$2 ( 3 x + 2 ) - 3 ( 5 x - 6 ) + 4 ( 7 x + 8 ) = 111$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga 3x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+4-3\left(5x-6\right)+4\left(7x+8\right)=111$$

-3 ga 5x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+4-15x+18+4\left(7x+8\right)=111$$

-9x ni olish uchun 6x va -15x ni birlashtirish.

$$-9x+4+18+4\left(7x+8\right)=111$$

22 olish uchun 4 va 18'ni qo'shing.

$$-9x+22+4\left(7x+8\right)=111$$

4 ga 7x+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-9x+22+28x+32=111$$

19x ni olish uchun -9x va 28x ni birlashtirish.

$$19x+22+32=111$$

54 olish uchun 22 va 32'ni qo'shing.

$$19x+54=111$$

Ikkala tarafdan 54 ni ayirish.

$$19x=111-54$$

57 olish uchun 111 dan 54 ni ayirish.

$$19x=57$$

Ikki tarafini 19 ga bo‘ling.

$$x=\frac{57}{19}$$

3 ni olish uchun 57 ni 19 ga bo‘ling.

$$x=3$$