x-2/4-3x-3/8=x/2 eching

$$\frac { x - 2 } { 4 } - \frac { 3 x - 3 } { 8 } = \frac { x } { 2 }$$

x uchun yechish

$$x=-\frac{1}{5}=-0,2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 8 ga, 4,8,2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(x-2\right)-\left(3x-3\right)=4x$$

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

$$2x-4-\left(3x-3\right)=4x$$

3x-3 teskarisini topish uchun har birining teskarisini toping.

$$2x-4-3x-\left(-3\right)=4x$$

-3 ning teskarisi 3 ga teng.

$$2x-4-3x+3=4x$$

-x ni olish uchun 2x va -3x ni birlashtirish.

$$-x-4+3=4x$$

-1 olish uchun -4 va 3'ni qo'shing.

$$-x-1=4x$$

Ikkala tarafdan 4x ni ayirish.

$$-x-1-4x=0$$

-5x ni olish uchun -x va -4x ni birlashtirish.

$$-5x-1=0$$

1 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-5x=1$$

Ikki tarafini -5 ga bo‘ling.

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

\frac{1}{-5} kasri manfiy belgini olib tashlash bilan -\frac{1}{5} sifatida qayta yozilishi mumkin.

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