1/4+(2x-3x-1/8)=2/3(x+2/6)-2x eching

$$\frac{ 1 }{ 4 } +(2x- \frac{ 3x-1 }{ 8 } )= \frac{ 2 }{ 3 } ( \frac{ x+2 }{ 6 } )-2x$$

x uchun yechish

$$x=-\frac{1}{23}\approx -0,043478261$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 24 ga, 4,8,3,6 ning eng kichik karralisiga ko‘paytiring.

$$6+48x-3\left(3x-1\right)=\frac{8}{3}\left(x+2\right)-48x$$

-3 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6+48x-9x+3=\frac{8}{3}\left(x+2\right)-48x$$

39x ni olish uchun 48x va -9x ni birlashtirish.

$$6+39x+3=\frac{8}{3}\left(x+2\right)-48x$$

9 olish uchun 6 va 3'ni qo'shing.

$$9+39x=\frac{8}{3}\left(x+2\right)-48x$$

\frac{8}{3} ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$9+39x=\frac{8}{3}x+\frac{8}{3}\times 2-48x$$

\frac{8}{3}\times 2 ni yagona kasrga aylantiring.

$$9+39x=\frac{8}{3}x+\frac{8\times 2}{3}-48x$$

16 hosil qilish uchun 8 va 2 ni ko'paytirish.

$$9+39x=\frac{8}{3}x+\frac{16}{3}-48x$$

-\frac{136}{3}x ni olish uchun \frac{8}{3}x va -48x ni birlashtirish.

$$9+39x=-\frac{136}{3}x+\frac{16}{3}$$

\frac{136}{3}x ni ikki tarafga qo’shing.

$$9+39x+\frac{136}{3}x=\frac{16}{3}$$

\frac{253}{3}x ni olish uchun 39x va \frac{136}{3}x ni birlashtirish.

$$9+\frac{253}{3}x=\frac{16}{3}$$

Ikkala tarafdan 9 ni ayirish.

$$\frac{253}{3}x=\frac{16}{3}-9$$

9 ni \frac{27}{3} kasrga o‘giring.

$$\frac{253}{3}x=\frac{16}{3}-\frac{27}{3}$$

\frac{16}{3} va \frac{27}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{253}{3}x=\frac{16-27}{3}$$

-11 olish uchun 16 dan 27 ni ayirish.

$$\frac{253}{3}x=-\frac{11}{3}$$

Ikki tarafini \frac{3}{253} va teskari kasri \frac{253}{3} ga ko‘paytiring.

$$x=-\frac{11}{3}\times \frac{3}{253}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{3} ni \frac{3}{253} ga ko‘paytiring.

$$x=\frac{-11\times 3}{3\times 253}$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$x=\frac{-11}{253}$$

\frac{-11}{253} ulushini 11 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{1}{23}$$