4/5(x-2)-1/6(3x-4)= eching

$$\frac { 4 } { 5 } ( x - 2 ) - \frac { 1 } { 6 } ( 3 x - 4 ) =$$

Baholash

$$\frac{3x}{10}-\frac{14}{15}$$

Yechim qadamlari

\frac{4}{5} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4}{5}x+\frac{4}{5}\left(-2\right)-\frac{1}{6}\left(3x-4\right)$$

\frac{4}{5}\left(-2\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}x+\frac{4\left(-2\right)}{5}-\frac{1}{6}\left(3x-4\right)$$

-8 hosil qilish uchun 4 va -2 ni ko'paytirish.

$$\frac{4}{5}x+\frac{-8}{5}-\frac{1}{6}\left(3x-4\right)$$

\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\left(3x-4\right)$$

-\frac{1}{6} ga 3x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\times 3x-\frac{1}{6}\left(-4\right)$$

-\frac{1}{6}\times 3 ni yagona kasrga aylantiring.

$$\frac{4}{5}x-\frac{8}{5}+\frac{-3}{6}x-\frac{1}{6}\left(-4\right)$$

\frac{-3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x-\frac{1}{6}\left(-4\right)$$

-\frac{1}{6}\left(-4\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{-\left(-4\right)}{6}$$

4 hosil qilish uchun -1 va -4 ni ko'paytirish.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{4}{6}$$

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{2}{3}$$

\frac{3}{10}x ni olish uchun \frac{4}{5}x va -\frac{1}{2}x ni birlashtirish.

$$\frac{3}{10}x-\frac{8}{5}+\frac{2}{3}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. -\frac{8}{5} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{10}x-\frac{24}{15}+\frac{10}{15}$$

-\frac{24}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{10}x+\frac{-24+10}{15}$$

-14 olish uchun -24 va 10'ni qo'shing.

$$\frac{3}{10}x-\frac{14}{15}$$

Kengaytirish

$$\frac{3x}{10}-\frac{14}{15}$$

Yechim qadamlari

\frac{4}{5} ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4}{5}x+\frac{4}{5}\left(-2\right)-\frac{1}{6}\left(3x-4\right)$$

\frac{4}{5}\left(-2\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}x+\frac{4\left(-2\right)}{5}-\frac{1}{6}\left(3x-4\right)$$

-8 hosil qilish uchun 4 va -2 ni ko'paytirish.

$$\frac{4}{5}x+\frac{-8}{5}-\frac{1}{6}\left(3x-4\right)$$

\frac{-8}{5} kasri manfiy belgini olib tashlash bilan -\frac{8}{5} sifatida qayta yozilishi mumkin.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\left(3x-4\right)$$

-\frac{1}{6} ga 3x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{6}\times 3x-\frac{1}{6}\left(-4\right)$$

-\frac{1}{6}\times 3 ni yagona kasrga aylantiring.

$$\frac{4}{5}x-\frac{8}{5}+\frac{-3}{6}x-\frac{1}{6}\left(-4\right)$$

\frac{-3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x-\frac{1}{6}\left(-4\right)$$

-\frac{1}{6}\left(-4\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{-\left(-4\right)}{6}$$

4 hosil qilish uchun -1 va -4 ni ko'paytirish.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{4}{6}$$

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}x-\frac{8}{5}-\frac{1}{2}x+\frac{2}{3}$$

\frac{3}{10}x ni olish uchun \frac{4}{5}x va -\frac{1}{2}x ni birlashtirish.

$$\frac{3}{10}x-\frac{8}{5}+\frac{2}{3}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. -\frac{8}{5} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{10}x-\frac{24}{15}+\frac{10}{15}$$

-\frac{24}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{10}x+\frac{-24+10}{15}$$

-14 olish uchun -24 va 10'ni qo'shing.

$$\frac{3}{10}x-\frac{14}{15}$$