4(2x-5)+2x=-2(x+5) eching

$$4 ( 2 x - 5 ) + 2 x = - 2 ( x + 5 )$$

x uchun yechish

$$x=\frac{5}{6}\approx 0,833333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$8x-20+2x=-2\left(x+5\right)$$

10x ni olish uchun 8x va 2x ni birlashtirish.

$$10x-20=-2\left(x+5\right)$$

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

$$10x-20=-2x-10$$

2x ni ikki tarafga qo’shing.

$$10x-20+2x=-10$$

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

$$12x-20=-10$$

20 ni ikki tarafga qo’shing.

$$12x=-10+20$$

10 olish uchun -10 va 20'ni qo'shing.

$$12x=10$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{10}{12}$$

\frac{10}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{5}{6}$$