x+3/6=1-3-2x/4 eching

$$\frac { x + 3 } { 6 } = 1 - \frac { 3 - 2 x } { 4 }$$

x uchun yechish

$$x=\frac{3}{4}=0,75$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

$$2x+6=12-3\left(3-2x\right)$$

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

$$2x+6=12-9+6x$$

3 olish uchun 12 dan 9 ni ayirish.

$$2x+6=3+6x$$

Ikkala tarafdan 6x ni ayirish.

$$2x+6-6x=3$$

-4x ni olish uchun 2x va -6x ni birlashtirish.

$$-4x+6=3$$

Ikkala tarafdan 6 ni ayirish.

$$-4x=3-6$$

-3 olish uchun 3 dan 6 ni ayirish.

$$-4x=-3$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{-3}{-4}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-3}{-4} kasrini \frac{3}{4} ga soddalashtirish mumkin.

$$x=\frac{3}{4}$$