3+2x/5-(2-3-x/3)=x eching

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

x uchun yechish

$$x=-\frac{3}{7}\approx -0,428571429$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2-\frac{3-x}{3} teskarisini topish uchun har birining teskarisini toping.

$$\frac{3+2x}{5}-2-\left(-\frac{3-x}{3}\right)=x$$

\frac{3}{5}+\frac{2}{5}x natijani olish uchun 3+2x ning har bir ifodasini 5 ga bo‘ling.

$$\frac{3}{5}+\frac{2}{5}x-2-\left(-\frac{3-x}{3}\right)=x$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\frac{3}{5}+\frac{2}{5}x-\frac{10}{5}-\left(-\frac{3-x}{3}\right)=x$$

\frac{3}{5} va \frac{10}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3-10}{5}+\frac{2}{5}x-\left(-\frac{3-x}{3}\right)=x$$

-7 olish uchun 3 dan 10 ni ayirish.

$$-\frac{7}{5}+\frac{2}{5}x-\left(-\frac{3-x}{3}\right)=x$$

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

$$-\frac{7}{5}+\frac{2}{5}x-\left(-\left(1-\frac{1}{3}x\right)\right)=x$$

1-\frac{1}{3}x teskarisini topish uchun har birining teskarisini toping.

$$-\frac{7}{5}+\frac{2}{5}x-\left(-1-\left(-\frac{1}{3}x\right)\right)=x$$

-\frac{1}{3}x ning teskarisi \frac{1}{3}x ga teng.

$$-\frac{7}{5}+\frac{2}{5}x-\left(-1+\frac{1}{3}x\right)=x$$

-1+\frac{1}{3}x teskarisini topish uchun har birining teskarisini toping.

$$-\frac{7}{5}+\frac{2}{5}x-\left(-1\right)-\frac{1}{3}x=x$$

-1 ning teskarisi 1 ga teng.

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

1 ni \frac{5}{5} kasrga o‘giring.

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

-\frac{7}{5} va \frac{5}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-2 olish uchun -7 va 5'ni qo'shing.

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

\frac{1}{15}x ni olish uchun \frac{2}{5}x va -\frac{1}{3}x ni birlashtirish.

$$-\frac{2}{5}+\frac{1}{15}x=x$$

Ikkala tarafdan x ni ayirish.

$$-\frac{2}{5}+\frac{1}{15}x-x=0$$

-\frac{14}{15}x ni olish uchun \frac{1}{15}x va -x ni birlashtirish.

$$-\frac{2}{5}-\frac{14}{15}x=0$$

\frac{2}{5} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-\frac{14}{15}x=\frac{2}{5}$$

Ikki tarafini -\frac{15}{14} va teskari kasri -\frac{14}{15} ga ko‘paytiring.

$$x=\frac{2}{5}\left(-\frac{15}{14}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni -\frac{15}{14} ga ko‘paytiring.

$$x=\frac{2\left(-15\right)}{5\times 14}$$

\frac{2\left(-15\right)}{5\times 14} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-30}{70}$$

\frac{-30}{70} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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