2(1+x)=3(4+2x)+5 eching

$$2 ( 1 + x ) = 3 ( 4 + 2 x ) + 5$$

x uchun yechish

$$x = -\frac{15}{4} = -3\frac{3}{4} = -3,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2+2x=3\left(4+2x\right)+5$$

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

$$2+2x=12+6x+5$$

17 olish uchun 12 va 5'ni qo'shing.

$$2+2x=17+6x$$

Ikkala tarafdan 6x ni ayirish.

$$2+2x-6x=17$$

-4x ni olish uchun 2x va -6x ni birlashtirish.

$$2-4x=17$$

Ikkala tarafdan 2 ni ayirish.

$$-4x=17-2$$

15 olish uchun 17 dan 2 ni ayirish.

$$-4x=15$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{15}{-4}$$

\frac{15}{-4} kasri manfiy belgini olib tashlash bilan -\frac{15}{4} sifatida qayta yozilishi mumkin.

$$x=-\frac{15}{4}$$