7x+6/30-2x-9/12=2x+13/30-x+8/20+frac{2}{3} eching

$$\frac { 7 x + 6 } { 30 } - \frac { 2 x - 9 } { 12 } = \frac { 2 x + 13 } { 30 } - \frac { x + 8 } { 20 } + \frac { 2 } { 3 }$$

x uchun yechish

$$x=-5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 60 ga, 30,12,20,3 ning eng kichik karralisiga ko‘paytiring.

$$2\left(7x+6\right)-5\left(2x-9\right)=2\left(2x+13\right)-3\left(x+8\right)+40$$

2 ga 7x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14x+12-5\left(2x-9\right)=2\left(2x+13\right)-3\left(x+8\right)+40$$

-5 ga 2x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14x+12-10x+45=2\left(2x+13\right)-3\left(x+8\right)+40$$

4x ni olish uchun 14x va -10x ni birlashtirish.

$$4x+12+45=2\left(2x+13\right)-3\left(x+8\right)+40$$

57 olish uchun 12 va 45'ni qo'shing.

$$4x+57=2\left(2x+13\right)-3\left(x+8\right)+40$$

2 ga 2x+13 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+57=4x+26-3\left(x+8\right)+40$$

-3 ga x+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x+57=4x+26-3x-24+40$$

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

$$4x+57=x+26-24+40$$

2 olish uchun 26 dan 24 ni ayirish.

$$4x+57=x+2+40$$

42 olish uchun 2 va 40'ni qo'shing.

$$4x+57=x+42$$

Ikkala tarafdan x ni ayirish.

$$4x+57-x=42$$

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

$$3x+57=42$$

Ikkala tarafdan 57 ni ayirish.

$$3x=42-57$$

-15 olish uchun 42 dan 57 ni ayirish.

$$3x=-15$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{-15}{3}$$

-5 ni olish uchun -15 ni 3 ga bo‘ling.

$$x=-5$$