40x=40/3x+80left(2/3x-15right) eching

$$40x = \frac{ 40 }{ 3 } x+80 \left( \frac{ 2 }{ 3 } x-15 \right)$$

x uchun yechish

$$x=45$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

80 ga \frac{2}{3}x-15 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$40x=\frac{40}{3}x+80\times \frac{2}{3}x-1200$$

80\times \frac{2}{3} ni yagona kasrga aylantiring.

$$40x=\frac{40}{3}x+\frac{80\times 2}{3}x-1200$$

160 hosil qilish uchun 80 va 2 ni ko'paytirish.

$$40x=\frac{40}{3}x+\frac{160}{3}x-1200$$

\frac{200}{3}x ni olish uchun \frac{40}{3}x va \frac{160}{3}x ni birlashtirish.

$$40x=\frac{200}{3}x-1200$$

Ikkala tarafdan \frac{200}{3}x ni ayirish.

$$40x-\frac{200}{3}x=-1200$$

-\frac{80}{3}x ni olish uchun 40x va -\frac{200}{3}x ni birlashtirish.

$$-\frac{80}{3}x=-1200$$

Ikki tarafini -\frac{3}{80} va teskari kasri -\frac{80}{3} ga ko‘paytiring.

$$x=-1200\left(-\frac{3}{80}\right)$$

-1200\left(-\frac{3}{80}\right) ni yagona kasrga aylantiring.

$$x=\frac{-1200\left(-3\right)}{80}$$

3600 hosil qilish uchun -1200 va -3 ni ko'paytirish.

$$x=\frac{3600}{80}$$

45 ni olish uchun 3600 ni 80 ga bo‘ling.

$$x=45$$