x+1/3-2-1/2=-x/6+5/2 eching

$$\frac { x + 1 } { 3 } - \frac { 2 - 1 } { 2 } = \frac { - x } { 6 } + \frac { 5 } { 2 }$$

x uchun yechish

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2\left(x+1\right)-3\left(2-1\right)=-x+15$$

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

$$2x+2-3\left(2-1\right)=-x+15$$

1 olish uchun 2 dan 1 ni ayirish.

$$2x+2-3=-x+15$$

-1 olish uchun 2 dan 3 ni ayirish.

$$2x-1=-x+15$$

x ni ikki tarafga qo’shing.

$$2x-1+x=15$$

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

$$3x-1=15$$

1 ni ikki tarafga qo’shing.

$$3x=15+1$$

16 olish uchun 15 va 1'ni qo'shing.

$$3x=16$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{16}{3}$$