26left(x-1right)=-65left(x+1right)-1/2left(x-78right) eching

$$26 \left( x-1 \right) = -65 \left( x+1 \right) - \frac{ 1 }{ 2 } \left( x-78 \right)$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$26x-26=-65\left(x+1\right)-\frac{1}{2}\left(x-78\right)$$

-65 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$26x-26=-65x-65-\frac{1}{2}\left(x-78\right)$$

-\frac{1}{2} ga x-78 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$26x-26=-65x-65-\frac{1}{2}x-\frac{1}{2}\left(-78\right)$$

-\frac{1}{2}\left(-78\right) ni yagona kasrga aylantiring.

$$26x-26=-65x-65-\frac{1}{2}x+\frac{-\left(-78\right)}{2}$$

78 hosil qilish uchun -1 va -78 ni ko'paytirish.

$$26x-26=-65x-65-\frac{1}{2}x+\frac{78}{2}$$

39 ni olish uchun 78 ni 2 ga bo‘ling.

$$26x-26=-65x-65-\frac{1}{2}x+39$$

-\frac{131}{2}x ni olish uchun -65x va -\frac{1}{2}x ni birlashtirish.

$$26x-26=-\frac{131}{2}x-65+39$$

-26 olish uchun -65 va 39'ni qo'shing.

$$26x-26=-\frac{131}{2}x-26$$

\frac{131}{2}x ni ikki tarafga qo’shing.

$$26x-26+\frac{131}{2}x=-26$$

\frac{183}{2}x ni olish uchun 26x va \frac{131}{2}x ni birlashtirish.

$$\frac{183}{2}x-26=-26$$

26 ni ikki tarafga qo’shing.

$$\frac{183}{2}x=-26+26$$

0 olish uchun -26 va 26'ni qo'shing.

$$\frac{183}{2}x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. \frac{183}{2} 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$