x-2(3x+2)=6x-3(-x-2)+6/14 eching

$$x - 2 ( 3 x + 2 ) = 6 x - 3 ( - x - 2 ) + \frac { 6 } { 14 }$$

x uchun yechish

$$x=-\frac{73}{98}\approx -0,744897959$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x-6x-4=6x-3\left(-x-2\right)+\frac{6}{14}$$

-5x ni olish uchun x va -6x ni birlashtirish.

$$-5x-4=6x-3\left(-x-2\right)+\frac{6}{14}$$

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

$$-5x-4=6x-3\left(-x\right)+6+\frac{6}{14}$$

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

$$-5x-4=6x+3x+6+\frac{6}{14}$$

9x ni olish uchun 6x va 3x ni birlashtirish.

$$-5x-4=9x+6+\frac{6}{14}$$

\frac{6}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-5x-4=9x+6+\frac{3}{7}$$

6 ni \frac{42}{7} kasrga o‘giring.

$$-5x-4=9x+\frac{42}{7}+\frac{3}{7}$$

\frac{42}{7} va \frac{3}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-5x-4=9x+\frac{42+3}{7}$$

45 olish uchun 42 va 3'ni qo'shing.

$$-5x-4=9x+\frac{45}{7}$$

Ikkala tarafdan 9x ni ayirish.

$$-5x-4-9x=\frac{45}{7}$$

-14x ni olish uchun -5x va -9x ni birlashtirish.

$$-14x-4=\frac{45}{7}$$

4 ni ikki tarafga qo’shing.

$$-14x=\frac{45}{7}+4$$

4 ni \frac{28}{7} kasrga o‘giring.

$$-14x=\frac{45}{7}+\frac{28}{7}$$

\frac{45}{7} va \frac{28}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-14x=\frac{45+28}{7}$$

73 olish uchun 45 va 28'ni qo'shing.

$$-14x=\frac{73}{7}$$

Ikki tarafini -14 ga bo‘ling.

$$x=\frac{\frac{73}{7}}{-14}$$

\frac{\frac{73}{7}}{-14} ni yagona kasrga aylantiring.

$$x=\frac{73}{7\left(-14\right)}$$

-98 hosil qilish uchun 7 va -14 ni ko'paytirish.

$$x=\frac{73}{-98}$$

\frac{73}{-98} kasri manfiy belgini olib tashlash bilan -\frac{73}{98} sifatida qayta yozilishi mumkin.

$$x=-\frac{73}{98}$$