x-x+2/6+1=2x-1/2-x/3+3(x-1)/2 eching

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

x uchun yechish

$$x=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

x+2 teskarisini topish uchun har birining teskarisini toping.

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

5x ni olish uchun 6x va -x ni birlashtirish.

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

4 olish uchun -2 va 6'ni qo'shing.

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

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

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

4x ni olish uchun 6x va -2x ni birlashtirish.

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

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

$$5x+4=4x-3+9\left(x-1\right)$$

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

$$5x+4=4x-3+9x-9$$

13x ni olish uchun 4x va 9x ni birlashtirish.

$$5x+4=13x-3-9$$

-12 olish uchun -3 dan 9 ni ayirish.

$$5x+4=13x-12$$

Ikkala tarafdan 13x ni ayirish.

$$5x+4-13x=-12$$

-8x ni olish uchun 5x va -13x ni birlashtirish.

$$-8x+4=-12$$

Ikkala tarafdan 4 ni ayirish.

$$-8x=-12-4$$

-16 olish uchun -12 dan 4 ni ayirish.

$$-8x=-16$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{-16}{-8}$$

2 ni olish uchun -16 ni -8 ga bo‘ling.

$$x=2$$