1/5x-3=5*left(1/10x+1/10right) eching

$$\frac{ 1 }{ 5 } x-3 = 5 \times \left( \frac{ 1 }{ 10 } x+ \frac{ 1 }{ 10 } \right)$$

x uchun yechish

$$x = -\frac{35}{3} = -11\frac{2}{3} \approx -11,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5 ga \frac{1}{10}x+\frac{1}{10} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{5}x-3=5\times \frac{1}{10}x+5\times \frac{1}{10}$$

\frac{5}{10} hosil qilish uchun 5 va \frac{1}{10} ni ko'paytirish.

$$\frac{1}{5}x-3=\frac{5}{10}x+5\times \frac{1}{10}$$

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{5}x-3=\frac{1}{2}x+5\times \frac{1}{10}$$

\frac{5}{10} hosil qilish uchun 5 va \frac{1}{10} ni ko'paytirish.

$$\frac{1}{5}x-3=\frac{1}{2}x+\frac{5}{10}$$

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Ikkala tarafdan \frac{1}{2}x ni ayirish.

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

-\frac{3}{10}x ni olish uchun \frac{1}{5}x va -\frac{1}{2}x ni birlashtirish.

$$-\frac{3}{10}x-3=\frac{1}{2}$$

3 ni ikki tarafga qo’shing.

$$-\frac{3}{10}x=\frac{1}{2}+3$$

3 ni \frac{6}{2} kasrga o‘giring.

$$-\frac{3}{10}x=\frac{1}{2}+\frac{6}{2}$$

\frac{1}{2} va \frac{6}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{3}{10}x=\frac{1+6}{2}$$

7 olish uchun 1 va 6'ni qo'shing.

$$-\frac{3}{10}x=\frac{7}{2}$$

Ikki tarafini -\frac{10}{3} va teskari kasri -\frac{3}{10} ga ko‘paytiring.

$$x=\frac{7}{2}\left(-\frac{10}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{2} ni -\frac{10}{3} ga ko‘paytiring.

$$x=\frac{7\left(-10\right)}{2\times 3}$$

\frac{7\left(-10\right)}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-70}{6}$$

\frac{-70}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{35}{3}$$