3(5x-1)-2(2x+4)=2(3x+1)-(2x-5) eching

$$3(5x-1)-2(2x+4)=2(3x+1)-(2x-5)$$

x uchun yechish

$$x = \frac{18}{7} = 2\frac{4}{7} \approx 2,571428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$15x-3-2\left(2x+4\right)=2\left(3x+1\right)-\left(2x-5\right)$$

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

$$15x-3-4x-8=2\left(3x+1\right)-\left(2x-5\right)$$

11x ni olish uchun 15x va -4x ni birlashtirish.

$$11x-3-8=2\left(3x+1\right)-\left(2x-5\right)$$

-11 olish uchun -3 dan 8 ni ayirish.

$$11x-11=2\left(3x+1\right)-\left(2x-5\right)$$

2 ga 3x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$11x-11=6x+2-\left(2x-5\right)$$

2x-5 teskarisini topish uchun har birining teskarisini toping.

$$11x-11=6x+2-2x-\left(-5\right)$$

-5 ning teskarisi 5 ga teng.

$$11x-11=6x+2-2x+5$$

4x ni olish uchun 6x va -2x ni birlashtirish.

$$11x-11=4x+2+5$$

7 olish uchun 2 va 5'ni qo'shing.

$$11x-11=4x+7$$

Ikkala tarafdan 4x ni ayirish.

$$11x-11-4x=7$$

7x ni olish uchun 11x va -4x ni birlashtirish.

$$7x-11=7$$

11 ni ikki tarafga qo’shing.

$$7x=7+11$$

18 olish uchun 7 va 11'ni qo'shing.

$$7x=18$$

Ikki tarafini 7 ga bo‘ling.

$$x=\frac{18}{7}$$