3(x+2)+4(2x-1)=5(x-2) eching

$$3(x+2)+4(2x-1)=5(x-2)$$

x uchun yechish

$$x=-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x+6+4\left(2x-1\right)=5\left(x-2\right)$$

4 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x+6+8x-4=5\left(x-2\right)$$

11x ni olish uchun 3x va 8x ni birlashtirish.

$$11x+6-4=5\left(x-2\right)$$

2 olish uchun 6 dan 4 ni ayirish.

$$11x+2=5\left(x-2\right)$$

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

$$11x+2=5x-10$$

Ikkala tarafdan 5x ni ayirish.

$$11x+2-5x=-10$$

6x ni olish uchun 11x va -5x ni birlashtirish.

$$6x+2=-10$$

Ikkala tarafdan 2 ni ayirish.

$$6x=-10-2$$

-12 olish uchun -10 dan 2 ni ayirish.

$$6x=-12$$

Ikki tarafini 6 ga bo‘ling.

$$x=\frac{-12}{6}$$

-2 ni olish uchun -12 ni 6 ga bo‘ling.

$$x=-2$$