-2(x-3)/9+7/18-x-2/6=x-x-2/3-frac{3(x+1)}{2} eching

$$- \frac { 2 ( x - 3 ) } { 9 } + \frac { 7 } { 18 } - \frac { x - 2 } { 6 } = x - \frac { x - 2 } { 3 } - \frac { 3 ( x + 1 ) } { 2 }$$

x uchun yechish

$$x=-5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga, 9,18,6,3,2 ning eng kichik karralisiga ko‘paytiring.

$$-2\times 2\left(x-3\right)+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

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

$$-4\left(x-3\right)+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

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

$$-4x+12+7-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

19 olish uchun 12 va 7'ni qo'shing.

$$-4x+19-3\left(x-2\right)=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

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

$$-4x+19-3x+6=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

-7x ni olish uchun -4x va -3x ni birlashtirish.

$$-7x+19+6=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

25 olish uchun 19 va 6'ni qo'shing.

$$-7x+25=18x-6\left(x-2\right)-9\times 3\left(x+1\right)$$

-6 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-7x+25=18x-6x+12-9\times 3\left(x+1\right)$$

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

$$-7x+25=12x+12-9\times 3\left(x+1\right)$$

-27 hosil qilish uchun -9 va 3 ni ko'paytirish.

$$-7x+25=12x+12-27\left(x+1\right)$$

-27 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-7x+25=12x+12-27x-27$$

-15x ni olish uchun 12x va -27x ni birlashtirish.

$$-7x+25=-15x+12-27$$

-15 olish uchun 12 dan 27 ni ayirish.

$$-7x+25=-15x-15$$

15x ni ikki tarafga qo’shing.

$$-7x+25+15x=-15$$

8x ni olish uchun -7x va 15x ni birlashtirish.

$$8x+25=-15$$

Ikkala tarafdan 25 ni ayirish.

$$8x=-15-25$$

-40 olish uchun -15 dan 25 ni ayirish.

$$8x=-40$$

Ikki tarafini 8 ga bo‘ling.

$$x=\frac{-40}{8}$$

-5 ni olish uchun -40 ni 8 ga bo‘ling.

$$x=-5$$