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

$$2 \times (x-2)-3 \times (1x)=2 \times (x-4)$$

x uchun yechish

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x-4-3\times 1x=2\left(x-4\right)$$

3 hosil qilish uchun 3 va 1 ni ko'paytirish.

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

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

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

2 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x-4=2x-8$$

Ikkala tarafdan 2x ni ayirish.

$$-x-4-2x=-8$$

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

$$-3x-4=-8$$

4 ni ikki tarafga qo’shing.

$$-3x=-8+4$$

-4 olish uchun -8 va 4'ni qo'shing.

$$-3x=-4$$

Ikki tarafini -3 ga bo‘ling.

$$x=\frac{-4}{-3}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-4}{-3} kasrini \frac{4}{3} ga soddalashtirish mumkin.

$$x=\frac{4}{3}$$