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

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

Baholash

$$\frac{11x}{6}-\frac{5}{3}$$

Yechim qadamlari

-\frac{1}{2} ga 4-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-\frac{1}{2}\times 4 ni yagona kasrga aylantiring.

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

-2 ni olish uchun -4 ni 2 ga bo‘ling.

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

-\frac{1}{2}\left(-3\right) ni yagona kasrga aylantiring.

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

3 hosil qilish uchun -1 va -3 ni ko'paytirish.

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

-5 olish uchun -3 dan 2 ni ayirish.

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

\frac{5}{2}x ni olish uchun x va \frac{3}{2}x ni birlashtirish.

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

\frac{1}{3} ga \frac{5}{2}x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{5}{2} ga ko‘paytiring.

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

\frac{1\times 5}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

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

\frac{-5}{3} hosil qilish uchun \frac{1}{3} va -5 ni ko'paytirish.

$$x+\frac{5}{6}x+\frac{-5}{3}$$

\frac{-5}{3} kasri manfiy belgini olib tashlash bilan -\frac{5}{3} sifatida qayta yozilishi mumkin.

$$x+\frac{5}{6}x-\frac{5}{3}$$

\frac{11}{6}x ni olish uchun x va \frac{5}{6}x ni birlashtirish.

$$\frac{11}{6}x-\frac{5}{3}$$

Kengaytirish

$$\frac{11x}{6}-\frac{5}{3}$$

Yechim qadamlari

-\frac{1}{2} ga 4-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-\frac{1}{2}\times 4 ni yagona kasrga aylantiring.

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

-2 ni olish uchun -4 ni 2 ga bo‘ling.

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

-\frac{1}{2}\left(-3\right) ni yagona kasrga aylantiring.

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

3 hosil qilish uchun -1 va -3 ni ko'paytirish.

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

-5 olish uchun -3 dan 2 ni ayirish.

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

\frac{5}{2}x ni olish uchun x va \frac{3}{2}x ni birlashtirish.

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

\frac{1}{3} ga \frac{5}{2}x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{3} ni \frac{5}{2} ga ko‘paytiring.

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

\frac{1\times 5}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

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

\frac{-5}{3} hosil qilish uchun \frac{1}{3} va -5 ni ko'paytirish.

$$x+\frac{5}{6}x+\frac{-5}{3}$$

\frac{-5}{3} kasri manfiy belgini olib tashlash bilan -\frac{5}{3} sifatida qayta yozilishi mumkin.

$$x+\frac{5}{6}x-\frac{5}{3}$$

\frac{11}{6}x ni olish uchun x va \frac{5}{6}x ni birlashtirish.

$$\frac{11}{6}x-\frac{5}{3}$$