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

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

x uchun yechish

$$x=-\frac{1}{4}=-0,25$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\times 3\left(x+1\right)-\left(x+1\right)=6$$

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

$$9\left(x+1\right)-\left(x+1\right)=6$$

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

$$9x+9-\left(x+1\right)=6$$

x+1 teskarisini topish uchun har birining teskarisini toping.

$$9x+9-x-1=6$$

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

$$8x+9-1=6$$

8 olish uchun 9 dan 1 ni ayirish.

$$8x+8=6$$

Ikkala tarafdan 8 ni ayirish.

$$8x=6-8$$

-2 olish uchun 6 dan 8 ni ayirish.

$$8x=-2$$

Ikki tarafini 8 ga bo‘ling.

$$x=\frac{-2}{8}$$

\frac{-2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{1}{4}$$