4x-2(6x-5)=3x+12(2x+16) eching

$$4 x - 2 ( 6 x - 5 ) = 3 x + 12 ( 2 x + 16 )$$

x uchun yechish

$$x = -\frac{26}{5} = -5\frac{1}{5} = -5,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-2 ga 6x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-12x+10=3x+12\left(2x+16\right)$$

-8x ni olish uchun 4x va -12x ni birlashtirish.

$$-8x+10=3x+12\left(2x+16\right)$$

12 ga 2x+16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-8x+10=3x+24x+192$$

27x ni olish uchun 3x va 24x ni birlashtirish.

$$-8x+10=27x+192$$

Ikkala tarafdan 27x ni ayirish.

$$-8x+10-27x=192$$

-35x ni olish uchun -8x va -27x ni birlashtirish.

$$-35x+10=192$$

Ikkala tarafdan 10 ni ayirish.

$$-35x=192-10$$

182 olish uchun 192 dan 10 ni ayirish.

$$-35x=182$$

Ikki tarafini -35 ga bo‘ling.

$$x=\frac{182}{-35}$$

\frac{182}{-35} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{26}{5}$$