4(x-1)-2(x-6)=6-3(x-12) eching

$$4(x-1)-2(x-6)=6-3(x-12)$$

x uchun yechish

$$x = \frac{34}{5} = 6\frac{4}{5} = 6,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4x-4-2\left(x-6\right)=6-3\left(x-12\right)$$

-2 ga x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-4-2x+12=6-3\left(x-12\right)$$

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

$$2x-4+12=6-3\left(x-12\right)$$

8 olish uchun -4 va 12'ni qo'shing.

$$2x+8=6-3\left(x-12\right)$$

-3 ga x-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x+8=6-3x+36$$

42 olish uchun 6 va 36'ni qo'shing.

$$2x+8=42-3x$$

3x ni ikki tarafga qo’shing.

$$2x+8+3x=42$$

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

$$5x+8=42$$

Ikkala tarafdan 8 ni ayirish.

$$5x=42-8$$

34 olish uchun 42 dan 8 ni ayirish.

$$5x=34$$

Ikki tarafini 5 ga bo‘ling.

$$x=\frac{34}{5}$$