8x+2/6+2=2x-9/8 eching

$$\frac { 8 x + 2 } { 6 } + 2 = \frac { 2 x - 9 } { 8 }$$

x uchun yechish

$$x = -\frac{83}{26} = -3\frac{5}{26} \approx -3,192307692$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4\left(8x+2\right)+48=3\left(2x-9\right)$$

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

$$32x+8+48=3\left(2x-9\right)$$

56 olish uchun 8 va 48'ni qo'shing.

$$32x+56=3\left(2x-9\right)$$

3 ga 2x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$32x+56=6x-27$$

Ikkala tarafdan 6x ni ayirish.

$$32x+56-6x=-27$$

26x ni olish uchun 32x va -6x ni birlashtirish.

$$26x+56=-27$$

Ikkala tarafdan 56 ni ayirish.

$$26x=-27-56$$

-83 olish uchun -27 dan 56 ni ayirish.

$$26x=-83$$

Ikki tarafini 26 ga bo‘ling.

$$x=\frac{-83}{26}$$

\frac{-83}{26} kasri manfiy belgini olib tashlash bilan -\frac{83}{26} sifatida qayta yozilishi mumkin.

$$x=-\frac{83}{26}$$