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

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

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.

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

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

$$x-5+4x+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

5x ni olish uchun x va 4x ni birlashtirish.

$$5x-5+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

11 olish uchun -5 va 16'ni qo'shing.

$$5x+11=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

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

$$5x+11=4x+24-\left(x-7\right)-2\left(x+6\right)$$

x-7 teskarisini topish uchun har birining teskarisini toping.

$$5x+11=4x+24-x-\left(-7\right)-2\left(x+6\right)$$

-7 ning teskarisi 7 ga teng.

$$5x+11=4x+24-x+7-2\left(x+6\right)$$

3x ni olish uchun 4x va -x ni birlashtirish.

$$5x+11=3x+24+7-2\left(x+6\right)$$

31 olish uchun 24 va 7'ni qo'shing.

$$5x+11=3x+31-2\left(x+6\right)$$

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

$$5x+11=3x+31-2x-12$$

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

$$5x+11=x+31-12$$

19 olish uchun 31 dan 12 ni ayirish.

$$5x+11=x+19$$

Ikkala tarafdan x ni ayirish.

$$5x+11-x=19$$

4x ni olish uchun 5x va -x ni birlashtirish.

$$4x+11=19$$

Ikkala tarafdan 11 ni ayirish.

$$4x=19-11$$

8 olish uchun 19 dan 11 ni ayirish.

$$4x=8$$

Ikki tarafini 4 ga bo‘ling.

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

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$x=2$$