4(2x+1)+7=7(4x-3) eching

$$4 ( 2 x + 1 ) + 7 = 7 ( 4 x - 3 )$$

x uchun yechish

$$x = \frac{8}{5} = 1\frac{3}{5} = 1,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$8x+4+7=7\left(4x-3\right)$$

11 olish uchun 4 va 7'ni qo'shing.

$$8x+11=7\left(4x-3\right)$$

7 ga 4x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+11=28x-21$$

Ikkala tarafdan 28x ni ayirish.

$$8x+11-28x=-21$$

-20x ni olish uchun 8x va -28x ni birlashtirish.

$$-20x+11=-21$$

Ikkala tarafdan 11 ni ayirish.

$$-20x=-21-11$$

-32 olish uchun -21 dan 11 ni ayirish.

$$-20x=-32$$

Ikki tarafini -20 ga bo‘ling.

$$x=\frac{-32}{-20}$$

\frac{-32}{-20} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{8}{5}$$