5(x+3)+12x=4-7(2-x) eching

$$5(x+3)+12x=4-7(2-x)$$

x uchun yechish

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$5x+15+12x=4-7\left(2-x\right)$$

17x ni olish uchun 5x va 12x ni birlashtirish.

$$17x+15=4-7\left(2-x\right)$$

-7 ga 2-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$17x+15=4-14+7x$$

-10 olish uchun 4 dan 14 ni ayirish.

$$17x+15=-10+7x$$

Ikkala tarafdan 7x ni ayirish.

$$17x+15-7x=-10$$

10x ni olish uchun 17x va -7x ni birlashtirish.

$$10x+15=-10$$

Ikkala tarafdan 15 ni ayirish.

$$10x=-10-15$$

-25 olish uchun -10 dan 15 ni ayirish.

$$10x=-25$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{-25}{10}$$

\frac{-25}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{5}{2}$$