6-4(x-3)=3x-5(x-5) eching

$$6-4(x-3)=3x-5(x-5)$$

x uchun yechish

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$6-4x+12=3x-5\left(x-5\right)$$

18 olish uchun 6 va 12'ni qo'shing.

$$18-4x=3x-5\left(x-5\right)$$

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

$$18-4x=3x-5x+25$$

-2x ni olish uchun 3x va -5x ni birlashtirish.

$$18-4x=-2x+25$$

2x ni ikki tarafga qo’shing.

$$18-4x+2x=25$$

-2x ni olish uchun -4x va 2x ni birlashtirish.

$$18-2x=25$$

Ikkala tarafdan 18 ni ayirish.

$$-2x=25-18$$

7 olish uchun 25 dan 18 ni ayirish.

$$-2x=7$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{7}{-2}$$

\frac{7}{-2} kasri manfiy belgini olib tashlash bilan -\frac{7}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{7}{2}$$