-2x+5/2=-5/2x-7/3 eching

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

x uchun yechish

$$x = -\frac{29}{3} = -9\frac{2}{3} \approx -9,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{2}x ni ikki tarafga qo’shing.

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

\frac{1}{2}x ni olish uchun -2x va \frac{5}{2}x ni birlashtirish.

$$\frac{1}{2}x+\frac{5}{2}=-\frac{7}{3}$$

Ikkala tarafdan \frac{5}{2} ni ayirish.

$$\frac{1}{2}x=-\frac{7}{3}-\frac{5}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. -\frac{7}{3} va \frac{5}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{2}x=-\frac{14}{6}-\frac{15}{6}$$

-\frac{14}{6} va \frac{15}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}x=\frac{-14-15}{6}$$

-29 olish uchun -14 dan 15 ni ayirish.

$$\frac{1}{2}x=-\frac{29}{6}$$

Ikki tarafini 2 va teskari kasri \frac{1}{2} ga ko‘paytiring.

$$x=-\frac{29}{6}\times 2$$

-\frac{29}{6}\times 2 ni yagona kasrga aylantiring.

$$x=\frac{-29\times 2}{6}$$

-58 hosil qilish uchun -29 va 2 ni ko'paytirish.

$$x=\frac{-58}{6}$$

\frac{-58}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{29}{3}$$