3(1-x)+2x=2/5(-2x+4/10) eching

$$3(1-x)+2x= \frac{ 2 }{ 5 } (-2x+ \frac{ 4 }{ 10 } )$$

x uchun yechish

$$x = \frac{71}{5} = 14\frac{1}{5} = 14,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 ga 1-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3-3x+2x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

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

$$3-x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

\frac{4}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$3-x=\frac{2}{5}\left(-2x+\frac{2}{5}\right)$$

\frac{2}{5} ga -2x+\frac{2}{5} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3-x=\frac{2}{5}\left(-2\right)x+\frac{2}{5}\times \frac{2}{5}$$

\frac{2}{5}\left(-2\right) ni yagona kasrga aylantiring.

$$3-x=\frac{2\left(-2\right)}{5}x+\frac{2}{5}\times \frac{2}{5}$$

-4 hosil qilish uchun 2 va -2 ni ko'paytirish.

$$3-x=\frac{-4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

\frac{-4}{5} kasri manfiy belgini olib tashlash bilan -\frac{4}{5} sifatida qayta yozilishi mumkin.

$$3-x=-\frac{4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{2}{5} ga ko‘paytiring.

$$3-x=-\frac{4}{5}x+\frac{2\times 2}{5\times 5}$$

\frac{2\times 2}{5\times 5} kasridagi ko‘paytirishlarni bajaring.

$$3-x=-\frac{4}{5}x+\frac{4}{25}$$

\frac{4}{5}x ni ikki tarafga qo’shing.

$$3-x+\frac{4}{5}x=\frac{4}{25}$$

-\frac{1}{5}x ni olish uchun -x va \frac{4}{5}x ni birlashtirish.

$$3-\frac{1}{5}x=\frac{4}{25}$$

Ikkala tarafdan 3 ni ayirish.

$$-\frac{1}{5}x=\frac{4}{25}-3$$

3 ni \frac{75}{25} kasrga o‘giring.

$$-\frac{1}{5}x=\frac{4}{25}-\frac{75}{25}$$

\frac{4}{25} va \frac{75}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{5}x=\frac{4-75}{25}$$

-71 olish uchun 4 dan 75 ni ayirish.

$$-\frac{1}{5}x=-\frac{71}{25}$$

Ikki tarafini -5 va teskari kasri -\frac{1}{5} ga ko‘paytiring.

$$x=-\frac{71}{25}\left(-5\right)$$

-\frac{71}{25}\left(-5\right) ni yagona kasrga aylantiring.

$$x=\frac{-71\left(-5\right)}{25}$$

355 hosil qilish uchun -71 va -5 ni ko'paytirish.

$$x=\frac{355}{25}$$

\frac{355}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{71}{5}$$