x-2/3=x eching

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

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{3}x-\frac{2}{3} natijani olish uchun x-2 ning har bir ifodasini 3 ga bo‘ling.

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

Ikkala tarafdan x ni ayirish.

$$\frac{1}{3}x-\frac{2}{3}-x=0$$

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

$$-\frac{2}{3}x-\frac{2}{3}=0$$

\frac{2}{3} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

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

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

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

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

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

-1 ni olish uchun -3 ni 3 ga bo‘ling.

$$x=-1$$