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

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

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

$$2x-2+6-3x=x-4$$

4 olish uchun -2 va 6'ni qo'shing.

$$2x+4-3x=x-4$$

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

$$-x+4=x-4$$

Ikkala tarafdan x ni ayirish.

$$-x+4-x=-4$$

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

$$-2x+4=-4$$

Ikkala tarafdan 4 ni ayirish.

$$-2x=-4-4$$

-8 olish uchun -4 dan 4 ni ayirish.

$$-2x=-8$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-8}{-2}$$

4 ni olish uchun -8 ni -2 ga bo‘ling.

$$x=4$$