3(x-2)=5(x-3) eching

$$3 ( x - 2 ) = 5 ( x - 3 )$$

x uchun yechish

$$x = \frac{9}{2} = 4\frac{1}{2} = 4,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

$$3x-6=5x-15$$

Ikkala tarafdan 5x ni ayirish.

$$3x-6-5x=-15$$

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

$$-2x-6=-15$$

6 ni ikki tarafga qo’shing.

$$-2x=-15+6$$

-9 olish uchun -15 va 6'ni qo'shing.

$$-2x=-9$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-9}{-2}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-9}{-2} kasrini \frac{9}{2} ga soddalashtirish mumkin.

$$x=\frac{9}{2}$$