3x-6/4-x+5/2=x-4/6 eching

$$\frac { 3 x - 6 } { 4 } - \frac { x + 5 } { 2 } = \frac { x - 4 } { 6 }$$

x uchun yechish

$$x=40$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 4,2,6 ning eng kichik karralisiga ko‘paytiring.

$$3\left(3x-6\right)-6\left(x+5\right)=2\left(x-4\right)$$

3 ga 3x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x-18-6\left(x+5\right)=2\left(x-4\right)$$

-6 ga x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9x-18-6x-30=2\left(x-4\right)$$

3x ni olish uchun 9x va -6x ni birlashtirish.

$$3x-18-30=2\left(x-4\right)$$

-48 olish uchun -18 dan 30 ni ayirish.

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

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

$$3x-48=2x-8$$

Ikkala tarafdan 2x ni ayirish.

$$3x-48-2x=-8$$

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

$$x-48=-8$$

48 ni ikki tarafga qo’shing.

$$x=-8+48$$

40 olish uchun -8 va 48'ni qo'shing.

$$x=40$$