3(x-2)=4(-x+3) eching

$$3(x-2)=4(-x+3)$$

x uchun yechish

$$x = \frac{18}{7} = 2\frac{4}{7} \approx 2,571428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

Ikkala tarafdan 4\left(-x\right) ni ayirish.

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

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$3x-6-4\left(-1\right)x=12$$

4 hosil qilish uchun -4 va -1 ni ko'paytirish.

$$3x-6+4x=12$$

7x ni olish uchun 3x va 4x ni birlashtirish.

$$7x-6=12$$

6 ni ikki tarafga qo’shing.

$$7x=12+6$$

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

$$7x=18$$

Ikki tarafini 7 ga bo‘ling.

$$x=\frac{18}{7}$$