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

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

x uchun yechish

$$x = -\frac{40}{13} = -3\frac{1}{13} \approx -3,076923077$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4\left(4x+1\right)+24=3\left(x-4\right)$$

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

$$16x+4+24=3\left(x-4\right)$$

28 olish uchun 4 va 24'ni qo'shing.

$$16x+28=3\left(x-4\right)$$

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

$$16x+28=3x-12$$

Ikkala tarafdan 3x ni ayirish.

$$16x+28-3x=-12$$

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

$$13x+28=-12$$

Ikkala tarafdan 28 ni ayirish.

$$13x=-12-28$$

-40 olish uchun -12 dan 28 ni ayirish.

$$13x=-40$$

Ikki tarafini 13 ga bo‘ling.

$$x=\frac{-40}{13}$$

\frac{-40}{13} kasri manfiy belgini olib tashlash bilan -\frac{40}{13} sifatida qayta yozilishi mumkin.

$$x=-\frac{40}{13}$$