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

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

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x-6+1=5\left(x-1\right)+2x$$

-5 olish uchun -6 va 1'ni qo'shing.

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

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

$$3x-5=5x-5+2x$$

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

$$3x-5=7x-5$$

Ikkala tarafdan 7x ni ayirish.

$$3x-5-7x=-5$$

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

$$-4x-5=-5$$

5 ni ikki tarafga qo’shing.

$$-4x=-5+5$$

0 olish uchun -5 va 5'ni qo'shing.

$$-4x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -4 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$