3(x+1)-5(x+10)=9(x-4)-9(x-8) eching

$$3 ( x + 1 ) - 5 ( x + 10 ) = 9 ( x - 4 ) - 9 ( x - 8 )$$

x uchun yechish

$$x = -\frac{83}{2} = -41\frac{1}{2} = -41,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x+3-5\left(x+10\right)=9\left(x-4\right)-9\left(x-8\right)$$

-5 ga x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x+3-5x-50=9\left(x-4\right)-9\left(x-8\right)$$

-2x ni olish uchun 3x va -5x ni birlashtirish.

$$-2x+3-50=9\left(x-4\right)-9\left(x-8\right)$$

-47 olish uchun 3 dan 50 ni ayirish.

$$-2x-47=9\left(x-4\right)-9\left(x-8\right)$$

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

$$-2x-47=9x-36-9\left(x-8\right)$$

-9 ga x-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-2x-47=9x-36-9x+72$$

0 ni olish uchun 9x va -9x ni birlashtirish.

$$-2x-47=-36+72$$

36 olish uchun -36 va 72'ni qo'shing.

$$-2x-47=36$$

47 ni ikki tarafga qo’shing.

$$-2x=36+47$$

83 olish uchun 36 va 47'ni qo'shing.

$$-2x=83$$

Ikki tarafini -2 ga bo‘ling.

$$x=\frac{83}{-2}$$

\frac{83}{-2} kasri manfiy belgini olib tashlash bilan -\frac{83}{2} sifatida qayta yozilishi mumkin.

$$x=-\frac{83}{2}$$