x-4/6+2x+8/2=8+4x-1/3 eching

$$\frac { x - 4 } { 6 } + \frac { 2 x + 8 } { 2 } = 8 + \frac { 4 x - 1 } { 3 }$$

x uchun yechish

$$x=-26$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x-4+3\left(2x+8\right)=48+2\left(4x-1\right)$$

3 ga 2x+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-4+6x+24=48+2\left(4x-1\right)$$

7x ni olish uchun x va 6x ni birlashtirish.

$$7x-4+24=48+2\left(4x-1\right)$$

20 olish uchun -4 va 24'ni qo'shing.

$$7x+20=48+2\left(4x-1\right)$$

2 ga 4x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x+20=48+8x-2$$

46 olish uchun 48 dan 2 ni ayirish.

$$7x+20=46+8x$$

Ikkala tarafdan 8x ni ayirish.

$$7x+20-8x=46$$

-x ni olish uchun 7x va -8x ni birlashtirish.

$$-x+20=46$$

Ikkala tarafdan 20 ni ayirish.

$$-x=46-20$$

26 olish uchun 46 dan 20 ni ayirish.

$$-x=26$$

Ikkala tarafini -1 ga ko‘paytiring.

$$x=-26$$