3(2x-1)/4-5x-3/3=5/6 eching

$$\frac { 3 ( 2 x - 1 ) } { 4 } - \frac { 5 x - 3 } { 3 } = \frac { 5 } { 6 }$$

x uchun yechish

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,3,6 ning eng kichik karralisiga ko‘paytiring.

$$3\times 3\left(2x-1\right)-4\left(5x-3\right)=10$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$9\left(2x-1\right)-4\left(5x-3\right)=10$$

9 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18x-9-4\left(5x-3\right)=10$$

-4 ga 5x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18x-9-20x+12=10$$

-2x ni olish uchun 18x va -20x ni birlashtirish.

$$-2x-9+12=10$$

3 olish uchun -9 va 12'ni qo'shing.

$$-2x+3=10$$

Ikkala tarafdan 3 ni ayirish.

$$-2x=10-3$$

7 olish uchun 10 dan 3 ni ayirish.

$$-2x=7$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{7}{-2}$$

\frac{7}{-2} kasri manfiy belgini olib tashlash bilan -\frac{7}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{7}{2}$$