x+3/2-3(x+2)/6-2/3=x-4/3-frac{3}{2}x eching

$$\frac { x + 3 } { 2 } - \frac { 3 ( x + 2 ) } { 6 } - \frac { 2 } { 3 } = \frac { x - 4 } { 3 } - \frac { 3 } { 2 } x$$

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(x+3\right)-3\left(x+2\right)-4=2\left(x-4\right)-9x$$

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

$$3x+9-3\left(x+2\right)-4=2\left(x-4\right)-9x$$

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

$$3x+9-3x-6-4=2\left(x-4\right)-9x$$

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

$$9-6-4=2\left(x-4\right)-9x$$

3 olish uchun 9 dan 6 ni ayirish.

$$3-4=2\left(x-4\right)-9x$$

-1 olish uchun 3 dan 4 ni ayirish.

$$-1=2\left(x-4\right)-9x$$

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

$$-1=2x-8-9x$$

-7x ni olish uchun 2x va -9x ni birlashtirish.

$$-1=-7x-8$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-7x-8=-1$$

8 ni ikki tarafga qo’shing.

$$-7x=-1+8$$

7 olish uchun -1 va 8'ni qo'shing.

$$-7x=7$$

Ikki tarafini -7 ga bo‘ling.

$$x=\frac{7}{-7}$$

-1 ni olish uchun 7 ni -7 ga bo‘ling.

$$x=-1$$