-5/2x-5/2=x-2/3 eching

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

x uchun yechish

$$x=-\frac{11}{21}\approx -0,523809524$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

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

-\frac{7}{2}x ni olish uchun -\frac{5}{2}x va -x ni birlashtirish.

$$-\frac{7}{2}x-\frac{5}{2}=-\frac{2}{3}$$

\frac{5}{2} ni ikki tarafga qo’shing.

$$-\frac{7}{2}x=-\frac{2}{3}+\frac{5}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. -\frac{2}{3} va \frac{5}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{2}x=-\frac{4}{6}+\frac{15}{6}$$

-\frac{4}{6} va \frac{15}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{7}{2}x=\frac{-4+15}{6}$$

11 olish uchun -4 va 15'ni qo'shing.

$$-\frac{7}{2}x=\frac{11}{6}$$

Ikki tarafini -\frac{2}{7} va teskari kasri -\frac{7}{2} ga ko‘paytiring.

$$x=\frac{11}{6}\left(-\frac{2}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{6} ni -\frac{2}{7} ga ko‘paytiring.

$$x=\frac{11\left(-2\right)}{6\times 7}$$

\frac{11\left(-2\right)}{6\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-22}{42}$$

\frac{-22}{42} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{11}{21}$$