5x-25left(7-4xright)=x-7left(4+xright) eching

$$5x-25 \left( 7-4x \right) = x-7 \left( 4+x \right)$$

x uchun yechish

$$x = \frac{49}{37} = 1\frac{12}{37} \approx 1,324324324$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-25 ga 7-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x-175+100x=x-7\left(4+x\right)$$

105x ni olish uchun 5x va 100x ni birlashtirish.

$$105x-175=x-7\left(4+x\right)$$

-7 ga 4+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$105x-175=x-28-7x$$

-6x ni olish uchun x va -7x ni birlashtirish.

$$105x-175=-6x-28$$

6x ni ikki tarafga qo’shing.

$$105x-175+6x=-28$$

111x ni olish uchun 105x va 6x ni birlashtirish.

$$111x-175=-28$$

175 ni ikki tarafga qo’shing.

$$111x=-28+175$$

147 olish uchun -28 va 175'ni qo'shing.

$$111x=147$$

Ikki tarafini 111 ga bo‘ling.

$$x=\frac{147}{111}$$

\frac{147}{111} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{49}{37}$$