x uchun yechish
x = \frac{47}{7} = 6\frac{5}{7} \approx 6,714285714
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(x-3\right)=2\left(x-3\right)\times 6-2\left(x+10\right)
x qiymati 3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x-3\right) ga, 2,x-3 ning eng kichik karralisiga ko‘paytiring.
3x-9=2\left(x-3\right)\times 6-2\left(x+10\right)
3 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x-9=12\left(x-3\right)-2\left(x+10\right)
12 hosil qilish uchun 2 va 6 ni ko'paytirish.
3x-9=12x-36-2\left(x+10\right)
12 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x-9=12x-36-2x-20
-2 ga x+10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3x-9=10x-36-20
10x ni olish uchun 12x va -2x ni birlashtirish.
3x-9=10x-56
-56 olish uchun -36 dan 20 ni ayirish.
3x-9-10x=-56
Ikkala tarafdan 10x ni ayirish.
-7x-9=-56
-7x ni olish uchun 3x va -10x ni birlashtirish.
-7x=-56+9
9 ni ikki tarafga qo’shing.
-7x=-47
-47 olish uchun -56 va 9'ni qo'shing.
x=\frac{-47}{-7}
Ikki tarafini -7 ga bo‘ling.
x=\frac{47}{7}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-47}{-7} kasrini \frac{47}{7} ga soddalashtirish mumkin.
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