x/3-7(x-2)/9=4-2x-5/6 eching

$$\frac { x } { 3 } - \frac { 7 ( x - 2 ) } { 9 } = 4 - \frac { 2 x - 5 } { 6 }$$

x uchun yechish

$$x = -\frac{59}{2} = -29\frac{1}{2} = -29,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga, 3,9,6 ning eng kichik karralisiga ko‘paytiring.

$$6x-2\times 7\left(x-2\right)=72-3\left(2x-5\right)$$

-14 hosil qilish uchun -2 va 7 ni ko'paytirish.

$$6x-14\left(x-2\right)=72-3\left(2x-5\right)$$

-14 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-14x+28=72-3\left(2x-5\right)$$

-8x ni olish uchun 6x va -14x ni birlashtirish.

$$-8x+28=72-3\left(2x-5\right)$$

-3 ga 2x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-8x+28=72-6x+15$$

87 olish uchun 72 va 15'ni qo'shing.

$$-8x+28=87-6x$$

6x ni ikki tarafga qo’shing.

$$-8x+28+6x=87$$

-2x ni olish uchun -8x va 6x ni birlashtirish.

$$-2x+28=87$$

Ikkala tarafdan 28 ni ayirish.

$$-2x=87-28$$

59 olish uchun 87 dan 28 ni ayirish.

$$-2x=59$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{59}{-2}$$

\frac{59}{-2} kasri manfiy belgini olib tashlash bilan -\frac{59}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{59}{2}$$