4x-3-2(3x+6)=3(2x-1) eching

$$4 x - 3 - 2 ( 3 x + 6 ) = 3 ( 2 x - 1 )$$

x uchun yechish

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-2 ga 3x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4x-3-6x-12=3\left(2x-1\right)$$

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

$$-2x-3-12=3\left(2x-1\right)$$

-15 olish uchun -3 dan 12 ni ayirish.

$$-2x-15=3\left(2x-1\right)$$

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

$$-2x-15=6x-3$$

Ikkala tarafdan 6x ni ayirish.

$$-2x-15-6x=-3$$

-8x ni olish uchun -2x va -6x ni birlashtirish.

$$-8x-15=-3$$

15 ni ikki tarafga qo’shing.

$$-8x=-3+15$$

12 olish uchun -3 va 15'ni qo'shing.

$$-8x=12$$

Ikki tarafini -8 ga bo‘ling.

$$x=\frac{12}{-8}$$

\frac{12}{-8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{3}{2}$$