3x+12/4+2=5x-7/3 eching

$$\frac{ 3x+12 }{ 4 } +2= \frac{ 5x-7 }{ 3 }$$

x uchun yechish

$$x=8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(3x+12\right)+24=4\left(5x-7\right)$$

3 ga 3x+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+36+24=4\left(5x-7\right)$$

60 olish uchun 36 va 24'ni qo'shing.

$$9x+60=4\left(5x-7\right)$$

4 ga 5x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+60=20x-28$$

Ikkala tarafdan 20x ni ayirish.

$$9x+60-20x=-28$$

-11x ni olish uchun 9x va -20x ni birlashtirish.

$$-11x+60=-28$$

Ikkala tarafdan 60 ni ayirish.

$$-11x=-28-60$$

-88 olish uchun -28 dan 60 ni ayirish.

$$-11x=-88$$

Ikki tarafini -11 ga bo‘ling.

$$x=\frac{-88}{-11}$$

8 ni olish uchun -88 ni -11 ga bo‘ling.

$$x=8$$