2x-12/8=-2x+10/2-x+6/4 eching

$$\frac { 2 x - 12 } { 8 } = \frac { - 2 x + 10 } { 2 } - \frac { x + 6 } { 4 }$$

x uchun yechish

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 8 ga, 8,2,4 ning eng kichik karralisiga ko‘paytiring.

$$2x-12=4\left(-2x+10\right)-2\left(x+6\right)$$

4 ga -2x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-12=-8x+40-2\left(x+6\right)$$

-2 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-12=-8x+40-2x-12$$

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

$$2x-12=-10x+40-12$$

28 olish uchun 40 dan 12 ni ayirish.

$$2x-12=-10x+28$$

10x ni ikki tarafga qo’shing.

$$2x-12+10x=28$$

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

$$12x-12=28$$

12 ni ikki tarafga qo’shing.

$$12x=28+12$$

40 olish uchun 28 va 12'ni qo'shing.

$$12x=40$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{40}{12}$$

\frac{40}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{10}{3}$$