5x+6(3x-1)=7x+4(x-2)+1 eching

$$5x+6(3x-1)=7x+4(x-2)+1$$

x uchun yechish

$$x=-\frac{1}{12}\approx -0,083333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$5x+18x-6=7x+4\left(x-2\right)+1$$

23x ni olish uchun 5x va 18x ni birlashtirish.

$$23x-6=7x+4\left(x-2\right)+1$$

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

$$23x-6=7x+4x-8+1$$

11x ni olish uchun 7x va 4x ni birlashtirish.

$$23x-6=11x-8+1$$

-7 olish uchun -8 va 1'ni qo'shing.

$$23x-6=11x-7$$

Ikkala tarafdan 11x ni ayirish.

$$23x-6-11x=-7$$

12x ni olish uchun 23x va -11x ni birlashtirish.

$$12x-6=-7$$

6 ni ikki tarafga qo’shing.

$$12x=-7+6$$

-1 olish uchun -7 va 6'ni qo'shing.

$$12x=-1$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{-1}{12}$$

\frac{-1}{12} kasri manfiy belgini olib tashlash bilan -\frac{1}{12} sifatida qayta yozilishi mumkin.

$$x=-\frac{1}{12}$$