3(x+2)-10=1/4(12x-16) eching

$$3 ( x + 2 ) - 10 = \frac { 1 } { 4 } ( 12 x - 16 )$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

Yechim qadamlari

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

$$3x+6-10=\frac{1}{4}\left(12x-16\right)$$

-4 olish uchun 6 dan 10 ni ayirish.

$$3x-4=\frac{1}{4}\left(12x-16\right)$$

\frac{1}{4} ga 12x-16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x-4=\frac{1}{4}\times 12x+\frac{1}{4}\left(-16\right)$$

\frac{12}{4} hosil qilish uchun \frac{1}{4} va 12 ni ko'paytirish.

$$3x-4=\frac{12}{4}x+\frac{1}{4}\left(-16\right)$$

3 ni olish uchun 12 ni 4 ga bo‘ling.

$$3x-4=3x+\frac{1}{4}\left(-16\right)$$

\frac{-16}{4} hosil qilish uchun \frac{1}{4} va -16 ni ko'paytirish.

$$3x-4=3x+\frac{-16}{4}$$

-4 ni olish uchun -16 ni 4 ga bo‘ling.

$$3x-4=3x-4$$

Ikkala tarafdan 3x ni ayirish.

$$3x-4-3x=-4$$

0 ni olish uchun 3x va -3x ni birlashtirish.

$$-4=-4$$

-4 va -4 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{C}$$

x uchun yechish

$$x\in \mathrm{R}$$

Yechim qadamlari

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

$$3x+6-10=\frac{1}{4}\left(12x-16\right)$$

-4 olish uchun 6 dan 10 ni ayirish.

$$3x-4=\frac{1}{4}\left(12x-16\right)$$

\frac{1}{4} ga 12x-16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3x-4=\frac{1}{4}\times 12x+\frac{1}{4}\left(-16\right)$$

\frac{12}{4} hosil qilish uchun \frac{1}{4} va 12 ni ko'paytirish.

$$3x-4=\frac{12}{4}x+\frac{1}{4}\left(-16\right)$$

3 ni olish uchun 12 ni 4 ga bo‘ling.

$$3x-4=3x+\frac{1}{4}\left(-16\right)$$

\frac{-16}{4} hosil qilish uchun \frac{1}{4} va -16 ni ko'paytirish.

$$3x-4=3x+\frac{-16}{4}$$

-4 ni olish uchun -16 ni 4 ga bo‘ling.

$$3x-4=3x-4$$

Ikkala tarafdan 3x ni ayirish.

$$3x-4-3x=-4$$

0 ni olish uchun 3x va -3x ni birlashtirish.

$$-4=-4$$

-4 va -4 ni taqqoslang.

$$\text{true}$$

Bu har qanday x uchun to‘g‘ri.

$$x\in \mathrm{R}$$