2+x/4+x/3-1-x/6=x/12+1 eching

$$\frac { 2 + x } { 4 } + \frac { x } { 3 } - \frac { 1 - x } { 6 } = \frac { x } { 12 } + 1$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,3,6,12 ning eng kichik karralisiga ko‘paytiring.

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

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

$$6+3x+4x-2\left(1-x\right)=x+12$$

7x ni olish uchun 3x va 4x ni birlashtirish.

$$6+7x-2\left(1-x\right)=x+12$$

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

$$6+7x-2+2x=x+12$$

4 olish uchun 6 dan 2 ni ayirish.

$$4+7x+2x=x+12$$

9x ni olish uchun 7x va 2x ni birlashtirish.

$$4+9x=x+12$$

Ikkala tarafdan x ni ayirish.

$$4+9x-x=12$$

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

$$4+8x=12$$

Ikkala tarafdan 4 ni ayirish.

$$8x=12-4$$

8 olish uchun 12 dan 4 ni ayirish.

$$8x=8$$

Ikki tarafini 8 ga bo‘ling.

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

1 ni olish uchun 8 ni 8 ga bo‘ling.

$$x=1$$