3+2x/4-x-4/6=5-x/18-1 eching

$$\frac { 3 + 2 x } { 4 } - \frac { x - 4 } { 6 } = \frac { 5 - x } { 18 } - 1$$

x uchun yechish

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36 ga, 4,6,18 ning eng kichik karralisiga ko‘paytiring.

$$9\left(3+2x\right)-6\left(x-4\right)=2\left(5-x\right)-36$$

9 ga 3+2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$27+18x-6\left(x-4\right)=2\left(5-x\right)-36$$

-6 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$27+18x-6x+24=2\left(5-x\right)-36$$

12x ni olish uchun 18x va -6x ni birlashtirish.

$$27+12x+24=2\left(5-x\right)-36$$

51 olish uchun 27 va 24'ni qo'shing.

$$51+12x=2\left(5-x\right)-36$$

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

$$51+12x=10-2x-36$$

-26 olish uchun 10 dan 36 ni ayirish.

$$51+12x=-26-2x$$

2x ni ikki tarafga qo’shing.

$$51+12x+2x=-26$$

14x ni olish uchun 12x va 2x ni birlashtirish.

$$51+14x=-26$$

Ikkala tarafdan 51 ni ayirish.

$$14x=-26-51$$

-77 olish uchun -26 dan 51 ni ayirish.

$$14x=-77$$

Ikki tarafini 14 ga bo‘ling.

$$x=\frac{-77}{14}$$

\frac{-77}{14} ulushini 7 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{11}{2}$$