x+3x-9/5=4-5x-12/3 eching

$$x + \frac { 3 x - 9 } { 5 } = 4 - \frac { 5 x - 12 } { 3 }$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.

$$15x+3\left(3x-9\right)=60-5\left(5x-12\right)$$

3 ga 3x-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$15x+9x-27=60-5\left(5x-12\right)$$

24x ni olish uchun 15x va 9x ni birlashtirish.

$$24x-27=60-5\left(5x-12\right)$$

-5 ga 5x-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$24x-27=60-25x+60$$

120 olish uchun 60 va 60'ni qo'shing.

$$24x-27=120-25x$$

25x ni ikki tarafga qo’shing.

$$24x-27+25x=120$$

49x ni olish uchun 24x va 25x ni birlashtirish.

$$49x-27=120$$

27 ni ikki tarafga qo’shing.

$$49x=120+27$$

147 olish uchun 120 va 27'ni qo'shing.

$$49x=147$$

Ikki tarafini 49 ga bo‘ling.

$$x=\frac{147}{49}$$

3 ni olish uchun 147 ni 49 ga bo‘ling.

$$x=3$$