5x-7/3-1-x/2=5-x/6+3x-2/4 eching

$$\frac { 5 x - 7 } { 3 } - \frac { 1 - x } { 2 } = \frac { 5 - x } { 6 } + \frac { 3 x - 2 } { 4 }$$

x uchun yechish

$$x=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,2,6,4 ning eng kichik karralisiga ko‘paytiring.

$$4\left(5x-7\right)-6\left(1-x\right)=2\left(5-x\right)+3\left(3x-2\right)$$

4 ga 5x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20x-28-6\left(1-x\right)=2\left(5-x\right)+3\left(3x-2\right)$$

-6 ga 1-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20x-28-6+6x=2\left(5-x\right)+3\left(3x-2\right)$$

-34 olish uchun -28 dan 6 ni ayirish.

$$20x-34+6x=2\left(5-x\right)+3\left(3x-2\right)$$

26x ni olish uchun 20x va 6x ni birlashtirish.

$$26x-34=2\left(5-x\right)+3\left(3x-2\right)$$

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

$$26x-34=10-2x+3\left(3x-2\right)$$

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

$$26x-34=10-2x+9x-6$$

7x ni olish uchun -2x va 9x ni birlashtirish.

$$26x-34=10+7x-6$$

4 olish uchun 10 dan 6 ni ayirish.

$$26x-34=4+7x$$

Ikkala tarafdan 7x ni ayirish.

$$26x-34-7x=4$$

19x ni olish uchun 26x va -7x ni birlashtirish.

$$19x-34=4$$

34 ni ikki tarafga qo’shing.

$$19x=4+34$$

38 olish uchun 4 va 34'ni qo'shing.

$$19x=38$$

Ikki tarafini 19 ga bo‘ling.

$$x=\frac{38}{19}$$

2 ni olish uchun 38 ni 19 ga bo‘ling.

$$x=2$$