x-4/6+2x+8/2=8+4x-7 eching

$$\frac { x - 4 } { 6 } + \frac { 2 x + 8 } { 2 } = 8 + 4 x - 7$$

x uchun yechish

$$x=\frac{14}{17}\approx 0,823529412$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$x-4+3\left(2x+8\right)=48+24x-42$$

3 ga 2x+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-4+6x+24=48+24x-42$$

7x ni olish uchun x va 6x ni birlashtirish.

$$7x-4+24=48+24x-42$$

20 olish uchun -4 va 24'ni qo'shing.

$$7x+20=48+24x-42$$

6 olish uchun 48 dan 42 ni ayirish.

$$7x+20=6+24x$$

Ikkala tarafdan 24x ni ayirish.

$$7x+20-24x=6$$

-17x ni olish uchun 7x va -24x ni birlashtirish.

$$-17x+20=6$$

Ikkala tarafdan 20 ni ayirish.

$$-17x=6-20$$

-14 olish uchun 6 dan 20 ni ayirish.

$$-17x=-14$$

Ikki tarafini -17 ga bo‘ling.

$$x=\frac{-14}{-17}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-14}{-17} kasrini \frac{14}{17} ga soddalashtirish mumkin.

$$x=\frac{14}{17}$$