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

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

x uchun yechish

$$x=-\frac{9}{28}\approx -0,321428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 20 ga, 2,4,5 ning eng kichik karralisiga ko‘paytiring.

$$10\left(3x+2\right)-20=5\left(2x-1\right)-4\left(2x+1\right)$$

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

$$30x+20-20=5\left(2x-1\right)-4\left(2x+1\right)$$

0 olish uchun 20 dan 20 ni ayirish.

$$30x=5\left(2x-1\right)-4\left(2x+1\right)$$

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

$$30x=10x-5-4\left(2x+1\right)$$

-4 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$30x=10x-5-8x-4$$

2x ni olish uchun 10x va -8x ni birlashtirish.

$$30x=2x-5-4$$

-9 olish uchun -5 dan 4 ni ayirish.

$$30x=2x-9$$

Ikkala tarafdan 2x ni ayirish.

$$30x-2x=-9$$

28x ni olish uchun 30x va -2x ni birlashtirish.

$$28x=-9$$

Ikki tarafini 28 ga bo‘ling.

$$x=\frac{-9}{28}$$

\frac{-9}{28} kasri manfiy belgini olib tashlash bilan -\frac{9}{28} sifatida qayta yozilishi mumkin.

$$x=-\frac{9}{28}$$