7(2-x-4x)-5x+5=12(x+1/6)-2x+4 eching

$$7 ( 2 - x - 4 x ) - 5 x + 5 = 12 ( x + \frac { 1 } { 6 } ) - 2 x + 4$$

x uchun yechish

$$x=\frac{13}{50}=0,26$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-5x ni olish uchun -x va -4x ni birlashtirish.

$$7\left(2-5x\right)-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

7 ga 2-5x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$14-35x-5x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

-40x ni olish uchun -35x va -5x ni birlashtirish.

$$14-40x+5=12\left(x+\frac{1}{6}\right)-2x+4$$

19 olish uchun 14 va 5'ni qo'shing.

$$19-40x=12\left(x+\frac{1}{6}\right)-2x+4$$

12 ga x+\frac{1}{6} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$19-40x=12x+12\times \frac{1}{6}-2x+4$$

\frac{12}{6} hosil qilish uchun 12 va \frac{1}{6} ni ko'paytirish.

$$19-40x=12x+\frac{12}{6}-2x+4$$

2 ni olish uchun 12 ni 6 ga bo‘ling.

$$19-40x=12x+2-2x+4$$

10x ni olish uchun 12x va -2x ni birlashtirish.

$$19-40x=10x+2+4$$

6 olish uchun 2 va 4'ni qo'shing.

$$19-40x=10x+6$$

Ikkala tarafdan 10x ni ayirish.

$$19-40x-10x=6$$

-50x ni olish uchun -40x va -10x ni birlashtirish.

$$19-50x=6$$

Ikkala tarafdan 19 ni ayirish.

$$-50x=6-19$$

-13 olish uchun 6 dan 19 ni ayirish.

$$-50x=-13$$

Ikki tarafini -50 ga bo‘ling.

$$x=\frac{-13}{-50}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-13}{-50} kasrini \frac{13}{50} ga soddalashtirish mumkin.

$$x=\frac{13}{50}$$