34(x-1)-12(2x-2)=7(05-x)+2(225+3x) eching

$$34(x-1)-12(2x-2)=7(05-x)+2(225+3x)$$

x uchun yechish

$$x = \frac{460}{11} = 41\frac{9}{11} \approx 41,818181818$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$34x-34-12\left(2x-2\right)=7\left(0\times 5-x\right)+2\left(225+3x\right)$$

-12 ga 2x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$34x-34-24x+24=7\left(0\times 5-x\right)+2\left(225+3x\right)$$

10x ni olish uchun 34x va -24x ni birlashtirish.

$$10x-34+24=7\left(0\times 5-x\right)+2\left(225+3x\right)$$

-10 olish uchun -34 va 24'ni qo'shing.

$$10x-10=7\left(0\times 5-x\right)+2\left(225+3x\right)$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$10x-10=7\left(0-x\right)+2\left(225+3x\right)$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$10x-10=7\left(-1\right)x+2\left(225+3x\right)$$

-7 hosil qilish uchun 7 va -1 ni ko'paytirish.

$$10x-10=-7x+2\left(225+3x\right)$$

2 ga 225+3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x-10=-7x+450+6x$$

-x ni olish uchun -7x va 6x ni birlashtirish.

$$10x-10=-x+450$$

x ni ikki tarafga qo’shing.

$$10x-10+x=450$$

11x ni olish uchun 10x va x ni birlashtirish.

$$11x-10=450$$

10 ni ikki tarafga qo’shing.

$$11x=450+10$$

460 olish uchun 450 va 10'ni qo'shing.

$$11x=460$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{460}{11}$$