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

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

z uchun yechish

$$z=5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga 3z-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6z-10-3\left(2+z\right)=5-\left(z+1\right)$$

-3 ga 2+z ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6z-10-6-3z=5-\left(z+1\right)$$

-16 olish uchun -10 dan 6 ni ayirish.

$$6z-16-3z=5-\left(z+1\right)$$

3z ni olish uchun 6z va -3z ni birlashtirish.

$$3z-16=5-\left(z+1\right)$$

z+1 teskarisini topish uchun har birining teskarisini toping.

$$3z-16=5-z-1$$

4 olish uchun 5 dan 1 ni ayirish.

$$3z-16=4-z$$

z ni ikki tarafga qo’shing.

$$3z-16+z=4$$

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

$$4z-16=4$$

16 ni ikki tarafga qo’shing.

$$4z=4+16$$

20 olish uchun 4 va 16'ni qo'shing.

$$4z=20$$

Ikki tarafini 4 ga bo‘ling.

$$z=\frac{20}{4}$$

5 ni olish uchun 20 ni 4 ga bo‘ling.

$$z=5$$