18(2x/9+1/3)-12(5x/6-1/4)= eching

$$18 ( \frac { 2 x } { 9 } + \frac { 1 } { 3 } ) - 12 ( \frac { 5 x } { 6 } - \frac { 1 } { 4 } ) =$$

Baholash

$$9-6x$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va 3 ning eng kichik umumiy karralisi 9. \frac{1}{3} ni \frac{3}{3} marotabaga ko'paytirish.

$$18\left(\frac{2x}{9}+\frac{3}{9}\right)-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

\frac{2x}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$18\times \frac{2x+3}{9}-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

18 va 9 ichida eng katta umumiy 9 faktorini bekor qiling.

$$2\left(2x+3\right)-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 va 4 ning eng kichik umumiy karralisi 12. \frac{5x}{6} ni \frac{2}{2} marotabaga ko'paytirish. \frac{1}{4} ni \frac{3}{3} marotabaga ko'paytirish.

$$2\left(2x+3\right)-12\left(\frac{2\times 5x}{12}-\frac{3}{12}\right)$$

\frac{2\times 5x}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$2\left(2x+3\right)-12\times \frac{2\times 5x-3}{12}$$

2\times 5x-3 ichidagi ko‘paytirishlarni bajaring.

$$2\left(2x+3\right)-12\times \frac{10x-3}{12}$$

12 va 12 ni qisqartiring.

$$2\left(2x+3\right)-\left(10x-3\right)$$

2 ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+6-\left(10x-3\right)$$

10x-3 teskarisini topish uchun har birining teskarisini toping.

$$4x+6-10x-\left(-3\right)$$

-3 ning teskarisi 3 ga teng.

$$4x+6-10x+3$$

-6x ni olish uchun 4x va -10x ni birlashtirish.

$$-6x+6+3$$

9 olish uchun 6 va 3'ni qo'shing.

$$-6x+9$$

Kengaytirish

$$9-6x$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va 3 ning eng kichik umumiy karralisi 9. \frac{1}{3} ni \frac{3}{3} marotabaga ko'paytirish.

$$18\left(\frac{2x}{9}+\frac{3}{9}\right)-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

\frac{2x}{9} va \frac{3}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$18\times \frac{2x+3}{9}-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

18 va 9 ichida eng katta umumiy 9 faktorini bekor qiling.

$$2\left(2x+3\right)-12\left(\frac{5x}{6}-\frac{1}{4}\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 6 va 4 ning eng kichik umumiy karralisi 12. \frac{5x}{6} ni \frac{2}{2} marotabaga ko'paytirish. \frac{1}{4} ni \frac{3}{3} marotabaga ko'paytirish.

$$2\left(2x+3\right)-12\left(\frac{2\times 5x}{12}-\frac{3}{12}\right)$$

\frac{2\times 5x}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$2\left(2x+3\right)-12\times \frac{2\times 5x-3}{12}$$

2\times 5x-3 ichidagi ko‘paytirishlarni bajaring.

$$2\left(2x+3\right)-12\times \frac{10x-3}{12}$$

12 va 12 ni qisqartiring.

$$2\left(2x+3\right)-\left(10x-3\right)$$

2 ga 2x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+6-\left(10x-3\right)$$

10x-3 teskarisini topish uchun har birining teskarisini toping.

$$4x+6-10x-\left(-3\right)$$

-3 ning teskarisi 3 ga teng.

$$4x+6-10x+3$$

-6x ni olish uchun 4x va -10x ni birlashtirish.

$$-6x+6+3$$

9 olish uchun 6 va 3'ni qo'shing.

$$-6x+9$$