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

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

x uchun yechish

$$x = \frac{45}{2} = 22\frac{1}{2} = 22,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$6\left(x+3\right)+2=4\left(2x-4\right)-9$$

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

$$6x+18+2=4\left(2x-4\right)-9$$

20 olish uchun 18 va 2'ni qo'shing.

$$6x+20=4\left(2x-4\right)-9$$

4 ga 2x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x+20=8x-16-9$$

-25 olish uchun -16 dan 9 ni ayirish.

$$6x+20=8x-25$$

Ikkala tarafdan 8x ni ayirish.

$$6x+20-8x=-25$$

-2x ni olish uchun 6x va -8x ni birlashtirish.

$$-2x+20=-25$$

Ikkala tarafdan 20 ni ayirish.

$$-2x=-25-20$$

-45 olish uchun -25 dan 20 ni ayirish.

$$-2x=-45$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{-45}{-2}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-45}{-2} kasrini \frac{45}{2} ga soddalashtirish mumkin.

$$x=\frac{45}{2}$$