2(x-2)+3(x-3)=3(x-5)-4(x-8) eching

$$2 ( x - 2 ) + 3 ( x - 3 ) = 3 ( x - 5 ) - 4 ( x - 8 )$$

x uchun yechish

$$x=5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

$$2x-4+3x-9=3\left(x-5\right)-4\left(x-8\right)$$

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

$$5x-4-9=3\left(x-5\right)-4\left(x-8\right)$$

-13 olish uchun -4 dan 9 ni ayirish.

$$5x-13=3\left(x-5\right)-4\left(x-8\right)$$

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

$$5x-13=3x-15-4\left(x-8\right)$$

-4 ga x-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x-13=3x-15-4x+32$$

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

$$5x-13=-x-15+32$$

17 olish uchun -15 va 32'ni qo'shing.

$$5x-13=-x+17$$

x ni ikki tarafga qo’shing.

$$5x-13+x=17$$

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

$$6x-13=17$$

13 ni ikki tarafga qo’shing.

$$6x=17+13$$

30 olish uchun 17 va 13'ni qo'shing.

$$6x=30$$

Ikki tarafini 6 ga bo‘ling.

$$x=\frac{30}{6}$$

5 ni olish uchun 30 ni 6 ga bo‘ling.

$$x=5$$