4x-11-(x-6)=3(x-1)-2 eching

$$4x-11-(x-6)=3(x-1)-2$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

Yechim qadamlari

x-6 teskarisini topish uchun har birining teskarisini toping.

$$4x-11-x-\left(-6\right)=3\left(x-1\right)-2$$

-6 ning teskarisi 6 ga teng.

$$4x-11-x+6=3\left(x-1\right)-2$$

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

$$3x-11+6=3\left(x-1\right)-2$$

-5 olish uchun -11 va 6'ni qo'shing.

$$3x-5=3\left(x-1\right)-2$$

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

$$3x-5=3x-3-2$$

-5 olish uchun -3 dan 2 ni ayirish.

$$3x-5=3x-5$$

Ikkala tarafdan 3x ni ayirish.

$$3x-5-3x=-5$$

0 ni olish uchun 3x va -3x ni birlashtirish.

$$-5=-5$$

-5 va -5 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{C}$$

x uchun yechish

$$x\in \mathrm{R}$$

Yechim qadamlari

x-6 teskarisini topish uchun har birining teskarisini toping.

$$4x-11-x-\left(-6\right)=3\left(x-1\right)-2$$

-6 ning teskarisi 6 ga teng.

$$4x-11-x+6=3\left(x-1\right)-2$$

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

$$3x-11+6=3\left(x-1\right)-2$$

-5 olish uchun -11 va 6'ni qo'shing.

$$3x-5=3\left(x-1\right)-2$$

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

$$3x-5=3x-3-2$$

-5 olish uchun -3 dan 2 ni ayirish.

$$3x-5=3x-5$$

Ikkala tarafdan 3x ni ayirish.

$$3x-5-3x=-5$$

0 ni olish uchun 3x va -3x ni birlashtirish.

$$-5=-5$$

-5 va -5 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{R}$$