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

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

x uchun yechish

$$x=5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2\times 2\left(x+1\right)=5\left(x+1\right)-6$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$4\left(x+1\right)=5\left(x+1\right)-6$$

4 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+4=5\left(x+1\right)-6$$

5 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+4=5x+5-6$$

-1 olish uchun 5 dan 6 ni ayirish.

$$4x+4=5x-1$$

Ikkala tarafdan 5x ni ayirish.

$$4x+4-5x=-1$$

-x ni olish uchun 4x va -5x ni birlashtirish.

$$-x+4=-1$$

Ikkala tarafdan 4 ni ayirish.

$$-x=-1-4$$

-5 olish uchun -1 dan 4 ni ayirish.

$$-x=-5$$

Ikkala tarafini -1 ga ko‘paytiring.

$$x=5$$