12x+4/20+8x-6/4-14x+3/5=-2 eching

$$\frac { 12 x + 4 } { 20 } + \frac { 8 x - 6 } { 4 } - \frac { 14 x + 3 } { 5 } = - 2$$

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 20 ga, 20,4,5 ning eng kichik karralisiga ko‘paytiring.

$$12x+4+5\left(8x-6\right)-4\left(14x+3\right)=-40$$

5 ga 8x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12x+4+40x-30-4\left(14x+3\right)=-40$$

52x ni olish uchun 12x va 40x ni birlashtirish.

$$52x+4-30-4\left(14x+3\right)=-40$$

-26 olish uchun 4 dan 30 ni ayirish.

$$52x-26-4\left(14x+3\right)=-40$$

-4 ga 14x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$52x-26-56x-12=-40$$

-4x ni olish uchun 52x va -56x ni birlashtirish.

$$-4x-26-12=-40$$

-38 olish uchun -26 dan 12 ni ayirish.

$$-4x-38=-40$$

38 ni ikki tarafga qo’shing.

$$-4x=-40+38$$

-2 olish uchun -40 va 38'ni qo'shing.

$$-4x=-2$$

Ikki tarafini -4 ga bo‘ling.

$$x=\frac{-2}{-4}$$

\frac{-2}{-4} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{2}$$