x-6/3-x-4/2=x+5/3 eching

$$\frac { x - 6 } { 3 } - \frac { x - 4 } { 2 } = \frac { x + 5 } { 3 }$$

x uchun yechish

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(x-6\right)-3\left(x-4\right)=2\left(x+5\right)$$

2 ga x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-12-3\left(x-4\right)=2\left(x+5\right)$$

-3 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-12-3x+12=2\left(x+5\right)$$

-x ni olish uchun 2x va -3x ni birlashtirish.

$$-x-12+12=2\left(x+5\right)$$

0 olish uchun -12 va 12'ni qo'shing.

$$-x=2\left(x+5\right)$$

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

$$-x=2x+10$$

Ikkala tarafdan 2x ni ayirish.

$$-x-2x=10$$

-3x ni olish uchun -x va -2x ni birlashtirish.

$$-3x=10$$

Ikki tarafini -3 ga bo‘ling.

$$x=\frac{10}{-3}$$

\frac{10}{-3} kasri manfiy belgini olib tashlash bilan -\frac{10}{3} sifatida qayta yozilishi mumkin.

$$x=-\frac{10}{3}$$