5(2x-3)-2(4x-7)=4(x+10) eching

$$5 ( 2 x - 3 ) - 2 ( 4 x - 7 ) = 4 ( x + 10 )$$

x uchun yechish

$$x = -\frac{41}{2} = -20\frac{1}{2} = -20,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5 ga 2x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x-15-2\left(4x-7\right)=4\left(x+10\right)$$

-2 ga 4x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x-15-8x+14=4\left(x+10\right)$$

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

$$2x-15+14=4\left(x+10\right)$$

-1 olish uchun -15 va 14'ni qo'shing.

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

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

$$2x-1=4x+40$$

Ikkala tarafdan 4x ni ayirish.

$$2x-1-4x=40$$

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

$$-2x-1=40$$

1 ni ikki tarafga qo’shing.

$$-2x=40+1$$

41 olish uchun 40 va 1'ni qo'shing.

$$-2x=41$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{41}{-2}$$

\frac{41}{-2} kasri manfiy belgini olib tashlash bilan -\frac{41}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{41}{2}$$