5x-3/4+8=2x+3/3 eching

$$\frac{ 5x-3 }{ 4 } +8= \frac{ 2x+3 }{ 3 }$$

x uchun yechish

$$x = -\frac{75}{7} = -10\frac{5}{7} \approx -10,714285714$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(5x-3\right)+96=4\left(2x+3\right)$$

3 ga 5x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15x-9+96=4\left(2x+3\right)$$

87 olish uchun -9 va 96'ni qo'shing.

$$15x+87=4\left(2x+3\right)$$

4 ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15x+87=8x+12$$

Ikkala tarafdan 8x ni ayirish.

$$15x+87-8x=12$$

7x ni olish uchun 15x va -8x ni birlashtirish.

$$7x+87=12$$

Ikkala tarafdan 87 ni ayirish.

$$7x=12-87$$

-75 olish uchun 12 dan 87 ni ayirish.

$$7x=-75$$

Ikki tarafini 7 ga bo‘ling.

$$x=\frac{-75}{7}$$

\frac{-75}{7} kasri manfiy belgini olib tashlash bilan -\frac{75}{7} sifatida qayta yozilishi mumkin.

$$x=-\frac{75}{7}$$