2(x+2)-3(x-2)=5-4(3x-1) eching

$$2 ( x + 2 ) - 3 ( x - 2 ) = 5 - 4 ( 3 x - 1 )$$

x uchun yechish

$$x=-\frac{1}{11}\approx -0,090909091$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x+4-3\left(x-2\right)=5-4\left(3x-1\right)$$

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

$$2x+4-3x+6=5-4\left(3x-1\right)$$

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

$$-x+4+6=5-4\left(3x-1\right)$$

10 olish uchun 4 va 6'ni qo'shing.

$$-x+10=5-4\left(3x-1\right)$$

-4 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x+10=5-12x+4$$

9 olish uchun 5 va 4'ni qo'shing.

$$-x+10=9-12x$$

12x ni ikki tarafga qo’shing.

$$-x+10+12x=9$$

11x ni olish uchun -x va 12x ni birlashtirish.

$$11x+10=9$$

Ikkala tarafdan 10 ni ayirish.

$$11x=9-10$$

-1 olish uchun 9 dan 10 ni ayirish.

$$11x=-1$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{-1}{11}$$

\frac{-1}{11} kasri manfiy belgini olib tashlash bilan -\frac{1}{11} sifatida qayta yozilishi mumkin.

$$x=-\frac{1}{11}$$