x-5/8+x-7/8=x+6/2-x+4/2-frac{x+6}{4} eching

$$\frac { x - 5 } { 8 } + \frac { x - 7 } { 8 } = \frac { x + 6 } { 2 } - \frac { x + 4 } { 2 } - \frac { x + 6 } { 4 }$$

x uchun yechish

$$x=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 8 ga, 8,2,4 ning eng kichik karralisiga ko‘paytiring.

$$x-5+x-7=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

2x ni olish uchun x va x ni birlashtirish.

$$2x-5-7=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

-12 olish uchun -5 dan 7 ni ayirish.

$$2x-12=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

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

$$2x-12=4x+24-4\left(x+4\right)-2\left(x+6\right)$$

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

$$2x-12=4x+24-4x-16-2\left(x+6\right)$$

0 ni olish uchun 4x va -4x ni birlashtirish.

$$2x-12=24-16-2\left(x+6\right)$$

8 olish uchun 24 dan 16 ni ayirish.

$$2x-12=8-2\left(x+6\right)$$

-2 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-12=8-2x-12$$

-4 olish uchun 8 dan 12 ni ayirish.

$$2x-12=-4-2x$$

2x ni ikki tarafga qo’shing.

$$2x-12+2x=-4$$

4x ni olish uchun 2x va 2x ni birlashtirish.

$$4x-12=-4$$

12 ni ikki tarafga qo’shing.

$$4x=-4+12$$

8 olish uchun -4 va 12'ni qo'shing.

$$4x=8$$

Ikki tarafini 4 ga bo‘ling.

$$x=\frac{8}{4}$$

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$x=2$$