4x+9-9(x-1)=3(x+5) eching

$$4 x + 9 - 9 ( x - 1 ) = 3 ( x + 5 )$$

x uchun yechish

$$x=\frac{3}{8}=0,375$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-9 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+9-9x+9=3\left(x+5\right)$$

-5x ni olish uchun 4x va -9x ni birlashtirish.

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

18 olish uchun 9 va 9'ni qo'shing.

$$-5x+18=3\left(x+5\right)$$

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

$$-5x+18=3x+15$$

Ikkala tarafdan 3x ni ayirish.

$$-5x+18-3x=15$$

-8x ni olish uchun -5x va -3x ni birlashtirish.

$$-8x+18=15$$

Ikkala tarafdan 18 ni ayirish.

$$-8x=15-18$$

-3 olish uchun 15 dan 18 ni ayirish.

$$-8x=-3$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{-3}{-8}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-3}{-8} kasrini \frac{3}{8} ga soddalashtirish mumkin.

$$x=\frac{3}{8}$$