1/2(x+3)=2x+6 eching

$$\frac { 1 } { 2 } ( x + 3 ) = 2 x + 6$$

x uchun yechish

$$x=-3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{2} ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{1}{2}\times 3=2x+6$$

\frac{3}{2} hosil qilish uchun \frac{1}{2} va 3 ni ko'paytirish.

$$\frac{1}{2}x+\frac{3}{2}=2x+6$$

Ikkala tarafdan 2x ni ayirish.

$$\frac{1}{2}x+\frac{3}{2}-2x=6$$

-\frac{3}{2}x ni olish uchun \frac{1}{2}x va -2x ni birlashtirish.

$$-\frac{3}{2}x+\frac{3}{2}=6$$

Ikkala tarafdan \frac{3}{2} ni ayirish.

$$-\frac{3}{2}x=6-\frac{3}{2}$$

6 ni \frac{12}{2} kasrga o‘giring.

$$-\frac{3}{2}x=\frac{12}{2}-\frac{3}{2}$$

\frac{12}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{3}{2}x=\frac{12-3}{2}$$

9 olish uchun 12 dan 3 ni ayirish.

$$-\frac{3}{2}x=\frac{9}{2}$$

Ikki tarafini -\frac{2}{3} va teskari kasri -\frac{3}{2} ga ko‘paytiring.

$$x=\frac{9}{2}\left(-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{2} ni -\frac{2}{3} ga ko‘paytiring.

$$x=\frac{9\left(-2\right)}{2\times 3}$$

\frac{9\left(-2\right)}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-18}{6}$$

-3 ni olish uchun -18 ni 6 ga bo‘ling.

$$x=-3$$