2(x+8)-5(x-10)=3(x+22) eching

$$2 ( x + 8 ) - 5 ( x - 10 ) = 3 ( x + 22 )$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x+16-5\left(x-10\right)=3\left(x+22\right)$$

-5 ga x-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+16-5x+50=3\left(x+22\right)$$

-3x ni olish uchun 2x va -5x ni birlashtirish.

$$-3x+16+50=3\left(x+22\right)$$

66 olish uchun 16 va 50'ni qo'shing.

$$-3x+66=3\left(x+22\right)$$

3 ga x+22 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-3x+66=3x+66$$

Ikkala tarafdan 3x ni ayirish.

$$-3x+66-3x=66$$

-6x ni olish uchun -3x va -3x ni birlashtirish.

$$-6x+66=66$$

Ikkala tarafdan 66 ni ayirish.

$$-6x=66-66$$

0 olish uchun 66 dan 66 ni ayirish.

$$-6x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -6 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$