7/3+2-x/6=1+2x/6-1-x/2 eching

$$\frac { 7 } { 3 } + \frac { 2 - x } { 6 } = \frac { 1 + 2 x } { 6 } - \frac { 1 - x } { 2 }$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,6,2 ning eng kichik karralisiga ko‘paytiring.

$$14+2-x=1+2x-3\left(1-x\right)$$

16 olish uchun 14 va 2'ni qo'shing.

$$16-x=1+2x-3\left(1-x\right)$$

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

$$16-x=1+2x-3+3x$$

-2 olish uchun 1 dan 3 ni ayirish.

$$16-x=-2+2x+3x$$

5x ni olish uchun 2x va 3x ni birlashtirish.

$$16-x=-2+5x$$

Ikkala tarafdan 5x ni ayirish.

$$16-x-5x=-2$$

-6x ni olish uchun -x va -5x ni birlashtirish.

$$16-6x=-2$$

Ikkala tarafdan 16 ni ayirish.

$$-6x=-2-16$$

-18 olish uchun -2 dan 16 ni ayirish.

$$-6x=-18$$

Ikki tarafini -6 ga bo‘ling.

$$x=\frac{-18}{-6}$$

3 ni olish uchun -18 ni -6 ga bo‘ling.

$$x=3$$