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

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

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4 ning eng kichik karralisiga ko‘paytiring.

$$8\left(x+\frac{1}{4}\right)=3\left(x-1\right)$$

8 ga x+\frac{1}{4} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8x+8\times \frac{1}{4}=3\left(x-1\right)$$

\frac{8}{4} hosil qilish uchun 8 va \frac{1}{4} ni ko'paytirish.

$$8x+\frac{8}{4}=3\left(x-1\right)$$

2 ni olish uchun 8 ni 4 ga bo‘ling.

$$8x+2=3\left(x-1\right)$$

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

$$8x+2=3x-3$$

Ikkala tarafdan 3x ni ayirish.

$$8x+2-3x=-3$$

5x ni olish uchun 8x va -3x ni birlashtirish.

$$5x+2=-3$$

Ikkala tarafdan 2 ni ayirish.

$$5x=-3-2$$

-5 olish uchun -3 dan 2 ni ayirish.

$$5x=-5$$

Ikki tarafini 5 ga bo‘ling.

$$x=\frac{-5}{5}$$

-1 ni olish uchun -5 ni 5 ga bo‘ling.

$$x=-1$$