2(4x+5)-3(x-6)=5(3x)+2(5x-3) eching

$$2(4x+5)-3(x-6)=5(3x)+2(5x-3)$$

x uchun yechish

$$x = \frac{17}{10} = 1\frac{7}{10} = 1,7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga 4x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+10-3\left(x-6\right)=5\times 3x+2\left(5x-3\right)$$

-3 ga x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+10-3x+18=5\times 3x+2\left(5x-3\right)$$

5x ni olish uchun 8x va -3x ni birlashtirish.

$$5x+10+18=5\times 3x+2\left(5x-3\right)$$

28 olish uchun 10 va 18'ni qo'shing.

$$5x+28=5\times 3x+2\left(5x-3\right)$$

15 hosil qilish uchun 5 va 3 ni ko'paytirish.

$$5x+28=15x+2\left(5x-3\right)$$

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

$$5x+28=15x+10x-6$$

25x ni olish uchun 15x va 10x ni birlashtirish.

$$5x+28=25x-6$$

Ikkala tarafdan 25x ni ayirish.

$$5x+28-25x=-6$$

-20x ni olish uchun 5x va -25x ni birlashtirish.

$$-20x+28=-6$$

Ikkala tarafdan 28 ni ayirish.

$$-20x=-6-28$$

-34 olish uchun -6 dan 28 ni ayirish.

$$-20x=-34$$

Ikki tarafini -20 ga bo‘ling.

$$x=\frac{-34}{-20}$$

\frac{-34}{-20} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{17}{10}$$