4x+1/6+2=x-4/8 eching

$$\frac{ 4x+1 }{ 6 } +2 = \frac{ x-4 }{ 8 }$$

x uchun yechish

$$x = -\frac{64}{13} = -4\frac{12}{13} \approx -4,923076923$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 24 ga, 6,8 ning eng kichik karralisiga ko‘paytiring.

$$4\left(4x+1\right)+48=3\left(x-4\right)$$

4 ga 4x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$16x+4+48=3\left(x-4\right)$$

52 olish uchun 4 va 48'ni qo'shing.

$$16x+52=3\left(x-4\right)$$

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

$$16x+52=3x-12$$

Ikkala tarafdan 3x ni ayirish.

$$16x+52-3x=-12$$

13x ni olish uchun 16x va -3x ni birlashtirish.

$$13x+52=-12$$

Ikkala tarafdan 52 ni ayirish.

$$13x=-12-52$$

-64 olish uchun -12 dan 52 ni ayirish.

$$13x=-64$$

Ikki tarafini 13 ga bo‘ling.

$$x=\frac{-64}{13}$$

\frac{-64}{13} kasri manfiy belgini olib tashlash bilan -\frac{64}{13} sifatida qayta yozilishi mumkin.

$$x=-\frac{64}{13}$$