x-3/5+7=7x-1/3 eching

$$\frac{ x-3 }{ 5 } +7= \frac{ 7x-1 }{ 3 }$$

x uchun yechish

$$x = \frac{101}{32} = 3\frac{5}{32} = 3,15625$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(x-3\right)+105=5\left(7x-1\right)$$

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

$$3x-9+105=5\left(7x-1\right)$$

96 olish uchun -9 va 105'ni qo'shing.

$$3x+96=5\left(7x-1\right)$$

5 ga 7x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x+96=35x-5$$

Ikkala tarafdan 35x ni ayirish.

$$3x+96-35x=-5$$

-32x ni olish uchun 3x va -35x ni birlashtirish.

$$-32x+96=-5$$

Ikkala tarafdan 96 ni ayirish.

$$-32x=-5-96$$

-101 olish uchun -5 dan 96 ni ayirish.

$$-32x=-101$$

Ikki tarafini -32 ga bo‘ling.

$$x=\frac{-101}{-32}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-101}{-32} kasrini \frac{101}{32} ga soddalashtirish mumkin.

$$x=\frac{101}{32}$$