3/2[2/3(x/4-1)-2]-x=2 eching

$$\frac { 3 } { 2 } [ \frac { 2 } { 3 } ( \frac { x } { 4 } - 1 ) - 2 ] - x = 2$$

x uchun yechish

$$x=-8$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 2,3,4 ning eng kichik karralisiga ko‘paytiring.

$$18\left(\frac{2}{3}\left(\frac{x}{4}-1\right)-2\right)-12x=24$$

\frac{2}{3} ga \frac{x}{4}-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18\left(\frac{2}{3}\times \frac{x}{4}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{x}{4} ga ko‘paytiring.

$$18\left(\frac{2x}{3\times 4}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$18\left(\frac{x}{2\times 3}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

-\frac{2}{3} hosil qilish uchun \frac{2}{3} va -1 ni ko'paytirish.

$$18\left(\frac{x}{2\times 3}-\frac{2}{3}-2\right)-12x=24$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\times 3 va 3 ning eng kichik umumiy karralisi 2\times 3. \frac{2}{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$18\left(\frac{x}{2\times 3}-\frac{2\times 2}{2\times 3}-2\right)-12x=24$$

\frac{x}{2\times 3} va \frac{2\times 2}{2\times 3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$18\left(\frac{x-2\times 2}{2\times 3}-2\right)-12x=24$$

x-2\times 2 ichidagi ko‘paytirishlarni bajaring.

$$18\left(\frac{x-4}{2\times 3}-2\right)-12x=24$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$18\left(\frac{x-4}{6}-2\right)-12x=24$$

18 ga \frac{x-4}{6}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$18\times \frac{x-4}{6}-36-12x=24$$

18 va 6 ichida eng katta umumiy 6 faktorini bekor qiling.

$$3\left(x-4\right)-36-12x=24$$

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

$$3x-12-36-12x=24$$

-48 olish uchun -12 dan 36 ni ayirish.

$$3x-48-12x=24$$

-9x ni olish uchun 3x va -12x ni birlashtirish.

$$-9x-48=24$$

48 ni ikki tarafga qo’shing.

$$-9x=24+48$$

72 olish uchun 24 va 48'ni qo'shing.

$$-9x=72$$

Ikki tarafini -9 ga bo‘ling.

$$x=\frac{72}{-9}$$

-8 ni olish uchun 72 ni -9 ga bo‘ling.

$$x=-8$$