3(x+1)/4-2(x-1)/3=2 eching

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

x uchun yechish

$$x=7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\times 3\left(x+1\right)-4\times 2\left(x-1\right)=24$$

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

$$9\left(x+1\right)-4\times 2\left(x-1\right)=24$$

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

$$9x+9-4\times 2\left(x-1\right)=24$$

-8 hosil qilish uchun -4 va 2 ni ko'paytirish.

$$9x+9-8\left(x-1\right)=24$$

-8 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x+9-8x+8=24$$

x ni olish uchun 9x va -8x ni birlashtirish.

$$x+9+8=24$$

17 olish uchun 9 va 8'ni qo'shing.

$$x+17=24$$

Ikkala tarafdan 17 ni ayirish.

$$x=24-17$$

7 olish uchun 24 dan 17 ni ayirish.

$$x=7$$