4-2/3(x-1)=x-2 eching

$$4- \frac{ 2 }{ 3 } (x-1)=x-2$$

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4-\frac{2}{3}x-\frac{2}{3}\left(-1\right)=x-2$$

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

$$4-\frac{2}{3}x+\frac{2}{3}=x-2$$

4 ni \frac{12}{3} kasrga o‘giring.

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

\frac{12}{3} va \frac{2}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

14 olish uchun 12 va 2'ni qo'shing.

$$\frac{14}{3}-\frac{2}{3}x=x-2$$

Ikkala tarafdan x ni ayirish.

$$\frac{14}{3}-\frac{2}{3}x-x=-2$$

-\frac{5}{3}x ni olish uchun -\frac{2}{3}x va -x ni birlashtirish.

$$\frac{14}{3}-\frac{5}{3}x=-2$$

Ikkala tarafdan \frac{14}{3} ni ayirish.

$$-\frac{5}{3}x=-2-\frac{14}{3}$$

-2 ni -\frac{6}{3} kasrga o‘giring.

$$-\frac{5}{3}x=-\frac{6}{3}-\frac{14}{3}$$

-\frac{6}{3} va \frac{14}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{5}{3}x=\frac{-6-14}{3}$$

-20 olish uchun -6 dan 14 ni ayirish.

$$-\frac{5}{3}x=-\frac{20}{3}$$

Ikki tarafini -\frac{3}{5} va teskari kasri -\frac{5}{3} ga ko‘paytiring.

$$x=-\frac{20}{3}\left(-\frac{3}{5}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{20}{3} ni -\frac{3}{5} ga ko‘paytiring.

$$x=\frac{-20\left(-3\right)}{3\times 5}$$

\frac{-20\left(-3\right)}{3\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{60}{15}$$

4 ni olish uchun 60 ni 15 ga bo‘ling.

$$x=4$$