5(x+3)-3=8(x+1)+2 eching

$$5 ( x + 3 ) - 3 = 8 ( x + 1 ) + 2$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

12 olish uchun 15 dan 3 ni ayirish.

$$5x+12=8\left(x+1\right)+2$$

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

$$5x+12=8x+8+2$$

10 olish uchun 8 va 2'ni qo'shing.

$$5x+12=8x+10$$

Ikkala tarafdan 8x ni ayirish.

$$5x+12-8x=10$$

-3x ni olish uchun 5x va -8x ni birlashtirish.

$$-3x+12=10$$

Ikkala tarafdan 12 ni ayirish.

$$-3x=10-12$$

-2 olish uchun 10 dan 12 ni ayirish.

$$-3x=-2$$

Ikki tarafini -3 ga bo‘ling.

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

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-2}{-3} kasrini \frac{2}{3} ga soddalashtirish mumkin.

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