45(8-x)+36=102-25(3x+24) eching

$$45 ( 8 - x ) + 36 = 102 - 25 ( 3 x + 24 )$$

x uchun yechish

$$x = -\frac{149}{5} = -29\frac{4}{5} = -29,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$360-45x+36=102-25\left(3x+24\right)$$

396 olish uchun 360 va 36'ni qo'shing.

$$396-45x=102-25\left(3x+24\right)$$

-25 ga 3x+24 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$396-45x=102-75x-600$$

-498 olish uchun 102 dan 600 ni ayirish.

$$396-45x=-498-75x$$

75x ni ikki tarafga qo’shing.

$$396-45x+75x=-498$$

30x ni olish uchun -45x va 75x ni birlashtirish.

$$396+30x=-498$$

Ikkala tarafdan 396 ni ayirish.

$$30x=-498-396$$

-894 olish uchun -498 dan 396 ni ayirish.

$$30x=-894$$

Ikki tarafini 30 ga bo‘ling.

$$x=\frac{-894}{30}$$

\frac{-894}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{149}{5}$$