3(x+6)div4=(4x-5)div6+(2x+2)div3 eching

$$3(x+6) \div 4=(4x-5) \div 6+(2x+2) \div 3$$

x uchun yechish

$$x=8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,6,3 ning eng kichik karralisiga ko‘paytiring.

$$3\times 3\left(x+6\right)=2\left(4x-5\right)+4\left(2x+2\right)$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$9\left(x+6\right)=2\left(4x-5\right)+4\left(2x+2\right)$$

9 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+54=2\left(4x-5\right)+4\left(2x+2\right)$$

2 ga 4x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+54=8x-10+4\left(2x+2\right)$$

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

$$9x+54=8x-10+8x+8$$

16x ni olish uchun 8x va 8x ni birlashtirish.

$$9x+54=16x-10+8$$

-2 olish uchun -10 va 8'ni qo'shing.

$$9x+54=16x-2$$

Ikkala tarafdan 16x ni ayirish.

$$9x+54-16x=-2$$

-7x ni olish uchun 9x va -16x ni birlashtirish.

$$-7x+54=-2$$

Ikkala tarafdan 54 ni ayirish.

$$-7x=-2-54$$

-56 olish uchun -2 dan 54 ni ayirish.

$$-7x=-56$$

Ikki tarafini -7 ga bo‘ling.

$$x=\frac{-56}{-7}$$

8 ni olish uchun -56 ni -7 ga bo‘ling.

$$x=8$$