x-(2x-3x-4/7)=4x-27/3-3 eching

$$x-(2x- \frac{ 3x-4 }{ 7 } ) = \frac{ 4x-27 }{ 3 } -3$$

x uchun yechish

$$x=6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 21 ga, 7,3 ning eng kichik karralisiga ko‘paytiring.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=7\left(4x-27\right)-63$$

7 ga 4x-27 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=28x-189-63$$

-252 olish uchun -189 dan 63 ni ayirish.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=28x-252$$

\frac{3}{7}x-\frac{4}{7} natijani olish uchun 3x-4 ning har bir ifodasini 7 ga bo‘ling.

$$21x-21\left(2x-\left(\frac{3}{7}x-\frac{4}{7}\right)\right)=28x-252$$

\frac{3}{7}x-\frac{4}{7} teskarisini topish uchun har birining teskarisini toping.

$$21x-21\left(2x-\frac{3}{7}x-\left(-\frac{4}{7}\right)\right)=28x-252$$

-\frac{4}{7} ning teskarisi \frac{4}{7} ga teng.

$$21x-21\left(2x-\frac{3}{7}x+\frac{4}{7}\right)=28x-252$$

\frac{11}{7}x ni olish uchun 2x va -\frac{3}{7}x ni birlashtirish.

$$21x-21\left(\frac{11}{7}x+\frac{4}{7}\right)=28x-252$$

-21 ga \frac{11}{7}x+\frac{4}{7} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$21x-21\times \frac{11}{7}x-21\times \frac{4}{7}=28x-252$$

-21\times \frac{11}{7} ni yagona kasrga aylantiring.

$$21x+\frac{-21\times 11}{7}x-21\times \frac{4}{7}=28x-252$$

-231 hosil qilish uchun -21 va 11 ni ko'paytirish.

$$21x+\frac{-231}{7}x-21\times \frac{4}{7}=28x-252$$

-33 ni olish uchun -231 ni 7 ga bo‘ling.

$$21x-33x-21\times \frac{4}{7}=28x-252$$

-21\times \frac{4}{7} ni yagona kasrga aylantiring.

$$21x-33x+\frac{-21\times 4}{7}=28x-252$$

-84 hosil qilish uchun -21 va 4 ni ko'paytirish.

$$21x-33x+\frac{-84}{7}=28x-252$$

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

$$21x-33x-12=28x-252$$

-12x ni olish uchun 21x va -33x ni birlashtirish.

$$-12x-12=28x-252$$

Ikkala tarafdan 28x ni ayirish.

$$-12x-12-28x=-252$$

-40x ni olish uchun -12x va -28x ni birlashtirish.

$$-40x-12=-252$$

12 ni ikki tarafga qo’shing.

$$-40x=-252+12$$

-240 olish uchun -252 va 12'ni qo'shing.

$$-40x=-240$$

Ikki tarafini -40 ga bo‘ling.

$$x=\frac{-240}{-40}$$

6 ni olish uchun -240 ni -40 ga bo‘ling.

$$x=6$$