3z-2+4(1-z)=5(1-2z)-12 eching

$$3 z - 2 + 4 ( 1 - z ) = 5 ( 1 - 2 z ) - 12$$

z uchun yechish

$$z=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 ga 1-z ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3z-2+4-4z=5\left(1-2z\right)-12$$

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

$$3z+2-4z=5\left(1-2z\right)-12$$

-z ni olish uchun 3z va -4z ni birlashtirish.

$$-z+2=5\left(1-2z\right)-12$$

5 ga 1-2z ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-z+2=5-10z-12$$

-7 olish uchun 5 dan 12 ni ayirish.

$$-z+2=-7-10z$$

10z ni ikki tarafga qo’shing.

$$-z+2+10z=-7$$

9z ni olish uchun -z va 10z ni birlashtirish.

$$9z+2=-7$$

Ikkala tarafdan 2 ni ayirish.

$$9z=-7-2$$

-9 olish uchun -7 dan 2 ni ayirish.

$$9z=-9$$

Ikki tarafini 9 ga bo‘ling.

$$z=\frac{-9}{9}$$

-1 ni olish uchun -9 ni 9 ga bo‘ling.

$$z=-1$$