x+7/2-(x-x-2/7)=36 eching

$$\frac { x + 7 } { 2 } - ( x - \frac { x - 2 } { 7 } ) = 36$$

x uchun yechish

$$x = -\frac{459}{5} = -91\frac{4}{5} = -91,8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 14 ga, 2,7 ning eng kichik karralisiga ko‘paytiring.

$$7\left(x+7\right)-14\left(x-\frac{x-2}{7}\right)=504$$

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

$$7x+49-14\left(x-\frac{x-2}{7}\right)=504$$

\frac{1}{7}x-\frac{2}{7} natijani olish uchun x-2 ning har bir ifodasini 7 ga bo‘ling.

$$7x+49-14\left(x-\left(\frac{1}{7}x-\frac{2}{7}\right)\right)=504$$

\frac{1}{7}x-\frac{2}{7} teskarisini topish uchun har birining teskarisini toping.

$$7x+49-14\left(x-\frac{1}{7}x-\left(-\frac{2}{7}\right)\right)=504$$

-\frac{2}{7} ning teskarisi \frac{2}{7} ga teng.

$$7x+49-14\left(x-\frac{1}{7}x+\frac{2}{7}\right)=504$$

\frac{6}{7}x ni olish uchun x va -\frac{1}{7}x ni birlashtirish.

$$7x+49-14\left(\frac{6}{7}x+\frac{2}{7}\right)=504$$

-14 ga \frac{6}{7}x+\frac{2}{7} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x+49-14\times \frac{6}{7}x-14\times \frac{2}{7}=504$$

-14\times \frac{6}{7} ni yagona kasrga aylantiring.

$$7x+49+\frac{-14\times 6}{7}x-14\times \frac{2}{7}=504$$

-84 hosil qilish uchun -14 va 6 ni ko'paytirish.

$$7x+49+\frac{-84}{7}x-14\times \frac{2}{7}=504$$

-12 ni olish uchun -84 ni 7 ga bo‘ling.

$$7x+49-12x-14\times \frac{2}{7}=504$$

-14\times \frac{2}{7} ni yagona kasrga aylantiring.

$$7x+49-12x+\frac{-14\times 2}{7}=504$$

-28 hosil qilish uchun -14 va 2 ni ko'paytirish.

$$7x+49-12x+\frac{-28}{7}=504$$

-4 ni olish uchun -28 ni 7 ga bo‘ling.

$$7x+49-12x-4=504$$

-5x ni olish uchun 7x va -12x ni birlashtirish.

$$-5x+49-4=504$$

45 olish uchun 49 dan 4 ni ayirish.

$$-5x+45=504$$

Ikkala tarafdan 45 ni ayirish.

$$-5x=504-45$$

459 olish uchun 504 dan 45 ni ayirish.

$$-5x=459$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{459}{-5}$$

\frac{459}{-5} kasri manfiy belgini olib tashlash bilan -\frac{459}{5} sifatida qayta yozilishi mumkin.

$$x=-\frac{459}{5}$$