3-x/4-1/6x=5x+1/6-5x-1/6 eching

$$\frac { 3 - x } { 4 } - \frac { 1 } { 6 } x = \frac { 5 x + 1 } { 6 } - \frac { 5 x - 1 } { 6 }$$

x uchun yechish

$$x=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(3-x\right)-2x=2\left(5x+1\right)-2\left(5x-1\right)$$

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

$$9-3x-2x=2\left(5x+1\right)-2\left(5x-1\right)$$

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

$$9-5x=2\left(5x+1\right)-2\left(5x-1\right)$$

2 ga 5x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9-5x=10x+2-2\left(5x-1\right)$$

-2 ga 5x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9-5x=10x+2-10x+2$$

0 ni olish uchun 10x va -10x ni birlashtirish.

$$9-5x=2+2$$

4 olish uchun 2 va 2'ni qo'shing.

$$9-5x=4$$

Ikkala tarafdan 9 ni ayirish.

$$-5x=4-9$$

-5 olish uchun 4 dan 9 ni ayirish.

$$-5x=-5$$

Ikki tarafini -5 ga bo‘ling.

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

1 ni olish uchun -5 ni -5 ga bo‘ling.

$$x=1$$