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

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

x uchun yechish

$$x = \frac{13}{5} = 2\frac{3}{5} = 2,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$8x-2\left(2x+1\right)=3\left(3x-5\right)$$

-2 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x-4x-2=3\left(3x-5\right)$$

4x ni olish uchun 8x va -4x ni birlashtirish.

$$4x-2=3\left(3x-5\right)$$

3 ga 3x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-2=9x-15$$

Ikkala tarafdan 9x ni ayirish.

$$4x-2-9x=-15$$

-5x ni olish uchun 4x va -9x ni birlashtirish.

$$-5x-2=-15$$

2 ni ikki tarafga qo’shing.

$$-5x=-15+2$$

-13 olish uchun -15 va 2'ni qo'shing.

$$-5x=-13$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{-13}{-5}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-13}{-5} kasrini \frac{13}{5} ga soddalashtirish mumkin.

$$x=\frac{13}{5}$$