7x+2(x+2)=8x-2(x-1) eching

$$7 x + 2 ( x + 2 ) = 8 x - 2 ( x - 1 )$$

x uchun yechish

$$x=-\frac{2}{3}\approx -0,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$7x+2x+4=8x-2\left(x-1\right)$$

9x ni olish uchun 7x va 2x ni birlashtirish.

$$9x+4=8x-2\left(x-1\right)$$

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

$$9x+4=8x-2x+2$$

6x ni olish uchun 8x va -2x ni birlashtirish.

$$9x+4=6x+2$$

Ikkala tarafdan 6x ni ayirish.

$$9x+4-6x=2$$

3x ni olish uchun 9x va -6x ni birlashtirish.

$$3x+4=2$$

Ikkala tarafdan 4 ni ayirish.

$$3x=2-4$$

-2 olish uchun 2 dan 4 ni ayirish.

$$3x=-2$$

Ikki tarafini 3 ga bo‘ling.

$$x=\frac{-2}{3}$$

\frac{-2}{3} kasri manfiy belgini olib tashlash bilan -\frac{2}{3} sifatida qayta yozilishi mumkin.

$$x=-\frac{2}{3}$$