2(3x-2)-2/4=5/3 eching

$$2 ( 3 x - 2 ) - \frac { 2 } { 4 } = \frac { 5 } { 3 }$$

x uchun yechish

$$x = \frac{37}{36} = 1\frac{1}{36} \approx 1,027777778$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga 3x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-4-\frac{2}{4}=\frac{5}{3}$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6x-4-\frac{1}{2}=\frac{5}{3}$$

-4 ni -\frac{8}{2} kasrga o‘giring.

$$6x-\frac{8}{2}-\frac{1}{2}=\frac{5}{3}$$

-\frac{8}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$6x+\frac{-8-1}{2}=\frac{5}{3}$$

-9 olish uchun -8 dan 1 ni ayirish.

$$6x-\frac{9}{2}=\frac{5}{3}$$

\frac{9}{2} ni ikki tarafga qo’shing.

$$6x=\frac{5}{3}+\frac{9}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{5}{3} va \frac{9}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$6x=\frac{10}{6}+\frac{27}{6}$$

\frac{10}{6} va \frac{27}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$6x=\frac{10+27}{6}$$

37 olish uchun 10 va 27'ni qo'shing.

$$6x=\frac{37}{6}$$

Ikki tarafini 6 ga bo‘ling.

$$x=\frac{\frac{37}{6}}{6}$$

\frac{\frac{37}{6}}{6} ni yagona kasrga aylantiring.

$$x=\frac{37}{6\times 6}$$

36 hosil qilish uchun 6 va 6 ni ko'paytirish.

$$x=\frac{37}{36}$$