3(x-5)/6+2x/4=7 eching

$$\frac { 3 ( x - 5 ) } { 6 } + \frac { 2 x } { 4 } = 7$$

x uchun yechish

$$x = \frac{19}{2} = 9\frac{1}{2} = 9,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 6,4 ning eng kichik karralisiga ko‘paytiring.

$$2\times 3\left(x-5\right)+3\times 2x=84$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6\left(x-5\right)+3\times 2x=84$$

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

$$6x-30+3\times 2x=84$$

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

$$6x-30+6x=84$$

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

$$12x-30=84$$

30 ni ikki tarafga qo’shing.

$$12x=84+30$$

114 olish uchun 84 va 30'ni qo'shing.

$$12x=114$$

Ikki tarafini 12 ga bo‘ling.

$$x=\frac{114}{12}$$

\frac{114}{12} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{19}{2}$$