6x-4/5=3/5-3(x-2)/3 eching

$$\frac { 6 x - 4 } { 5 } = \frac { 3 } { 5 } - \frac { 3 ( x - 2 ) } { 3 }$$

x uchun yechish

$$x = \frac{17}{11} = 1\frac{6}{11} \approx 1,545454545$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.

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

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

$$18x-12=9-5\times 3\left(x-2\right)$$

-15 hosil qilish uchun -5 va 3 ni ko'paytirish.

$$18x-12=9-15\left(x-2\right)$$

-15 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18x-12=9-15x+30$$

39 olish uchun 9 va 30'ni qo'shing.

$$18x-12=39-15x$$

15x ni ikki tarafga qo’shing.

$$18x-12+15x=39$$

33x ni olish uchun 18x va 15x ni birlashtirish.

$$33x-12=39$$

12 ni ikki tarafga qo’shing.

$$33x=39+12$$

51 olish uchun 39 va 12'ni qo'shing.

$$33x=51$$

Ikki tarafini 33 ga bo‘ling.

$$x=\frac{51}{33}$$

\frac{51}{33} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{17}{11}$$