4-7-3x/5=3-3-7x/10-x+1/2 eching

$$4 - \frac { 7 - 3 x } { 5 } = 3 - \frac { 3 - 7 x } { 10 } - \frac { x + 1 } { 2 }$$

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 10 ga, 5,10,2 ning eng kichik karralisiga ko‘paytiring.

$$40-2\left(7-3x\right)=30-\left(3-7x\right)-5\left(x+1\right)$$

-2 ga 7-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$40-14+6x=30-\left(3-7x\right)-5\left(x+1\right)$$

26 olish uchun 40 dan 14 ni ayirish.

$$26+6x=30-\left(3-7x\right)-5\left(x+1\right)$$

3-7x teskarisini topish uchun har birining teskarisini toping.

$$26+6x=30-3-\left(-7x\right)-5\left(x+1\right)$$

-7x ning teskarisi 7x ga teng.

$$26+6x=30-3+7x-5\left(x+1\right)$$

27 olish uchun 30 dan 3 ni ayirish.

$$26+6x=27+7x-5\left(x+1\right)$$

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

$$26+6x=27+7x-5x-5$$

2x ni olish uchun 7x va -5x ni birlashtirish.

$$26+6x=27+2x-5$$

22 olish uchun 27 dan 5 ni ayirish.

$$26+6x=22+2x$$

Ikkala tarafdan 2x ni ayirish.

$$26+6x-2x=22$$

4x ni olish uchun 6x va -2x ni birlashtirish.

$$26+4x=22$$

Ikkala tarafdan 26 ni ayirish.

$$4x=22-26$$

-4 olish uchun 22 dan 26 ni ayirish.

$$4x=-4$$

Ikki tarafini 4 ga bo‘ling.

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

-1 ni olish uchun -4 ni 4 ga bo‘ling.

$$x=-1$$