x/6-3(x+2)/5-4(2x+1)/15=3(3x+2)/10-frac{4}{3} eching

$$\frac { x } { 6 } - \frac { 3 ( x + 2 ) } { 5 } - \frac { 4 ( 2 x + 1 ) } { 15 } = \frac { 3 ( 3 x + 2 ) } { 10 } - \frac { 4 } { 3 }$$

x uchun yechish

$$x=-\frac{11}{28}\approx -0,392857143$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 6,5,15,10,3 ning eng kichik karralisiga ko‘paytiring.

$$5x-6\times 3\left(x+2\right)-2\times 4\left(2x+1\right)=3\times 3\left(3x+2\right)-40$$

-18 hosil qilish uchun -6 va 3 ni ko'paytirish.

$$5x-18\left(x+2\right)-2\times 4\left(2x+1\right)=3\times 3\left(3x+2\right)-40$$

-18 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5x-18x-36-2\times 4\left(2x+1\right)=3\times 3\left(3x+2\right)-40$$

-13x ni olish uchun 5x va -18x ni birlashtirish.

$$-13x-36-2\times 4\left(2x+1\right)=3\times 3\left(3x+2\right)-40$$

-8 hosil qilish uchun -2 va 4 ni ko'paytirish.

$$-13x-36-8\left(2x+1\right)=3\times 3\left(3x+2\right)-40$$

-8 ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-13x-36-16x-8=3\times 3\left(3x+2\right)-40$$

-29x ni olish uchun -13x va -16x ni birlashtirish.

$$-29x-36-8=3\times 3\left(3x+2\right)-40$$

-44 olish uchun -36 dan 8 ni ayirish.

$$-29x-44=3\times 3\left(3x+2\right)-40$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$-29x-44=9\left(3x+2\right)-40$$

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

$$-29x-44=27x+18-40$$

-22 olish uchun 18 dan 40 ni ayirish.

$$-29x-44=27x-22$$

Ikkala tarafdan 27x ni ayirish.

$$-29x-44-27x=-22$$

-56x ni olish uchun -29x va -27x ni birlashtirish.

$$-56x-44=-22$$

44 ni ikki tarafga qo’shing.

$$-56x=-22+44$$

22 olish uchun -22 va 44'ni qo'shing.

$$-56x=22$$

Ikki tarafini -56 ga bo‘ling.

$$x=\frac{22}{-56}$$

\frac{22}{-56} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{11}{28}$$