3/4(2x-1)=2-2x eching

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

x uchun yechish

$$x=\frac{11}{14}\approx 0,785714286$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4} ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{4}\times 2x+\frac{3}{4}\left(-1\right)=2-2x$$

\frac{3}{4}\times 2 ni yagona kasrga aylantiring.

$$\frac{3\times 2}{4}x+\frac{3}{4}\left(-1\right)=2-2x$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

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

\frac{6}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{2}x+\frac{3}{4}\left(-1\right)=2-2x$$

-\frac{3}{4} hosil qilish uchun \frac{3}{4} va -1 ni ko'paytirish.

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

2x ni ikki tarafga qo’shing.

$$\frac{3}{2}x-\frac{3}{4}+2x=2$$

\frac{7}{2}x ni olish uchun \frac{3}{2}x va 2x ni birlashtirish.

$$\frac{7}{2}x-\frac{3}{4}=2$$

\frac{3}{4} ni ikki tarafga qo’shing.

$$\frac{7}{2}x=2+\frac{3}{4}$$

2 ni \frac{8}{4} kasrga o‘giring.

$$\frac{7}{2}x=\frac{8}{4}+\frac{3}{4}$$

\frac{8}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{2}x=\frac{8+3}{4}$$

11 olish uchun 8 va 3'ni qo'shing.

$$\frac{7}{2}x=\frac{11}{4}$$

Ikki tarafini \frac{2}{7} va teskari kasri \frac{7}{2} ga ko‘paytiring.

$$x=\frac{11}{4}\times \frac{2}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{4} ni \frac{2}{7} ga ko‘paytiring.

$$x=\frac{11\times 2}{4\times 7}$$

\frac{11\times 2}{4\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{22}{28}$$

\frac{22}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{11}{14}$$