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

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

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4\left(x+1\right)=12-3\left(2x+1\right)$$

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

$$4x+4=12-3\left(2x+1\right)$$

-3 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+4=12-6x-3$$

9 olish uchun 12 dan 3 ni ayirish.

$$4x+4=9-6x$$

6x ni ikki tarafga qo’shing.

$$4x+4+6x=9$$

10x ni olish uchun 4x va 6x ni birlashtirish.

$$10x+4=9$$

Ikkala tarafdan 4 ni ayirish.

$$10x=9-4$$

5 olish uchun 9 dan 4 ni ayirish.

$$10x=5$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{5}{10}$$

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{2}$$