x uchun yechish
x=-9
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{1}{4}x+\frac{1}{4}\left(-3\right)+2=\frac{1}{3}\left(x+6\right)
\frac{1}{4} ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{1}{4}x+\frac{-3}{4}+2=\frac{1}{3}\left(x+6\right)
\frac{-3}{4} hosil qilish uchun \frac{1}{4} va -3 ni ko'paytirish.
\frac{1}{4}x-\frac{3}{4}+2=\frac{1}{3}\left(x+6\right)
\frac{-3}{4} kasri manfiy belgini olib tashlash bilan -\frac{3}{4} sifatida qayta yozilishi mumkin.
\frac{1}{4}x-\frac{3}{4}+\frac{8}{4}=\frac{1}{3}\left(x+6\right)
2 ni \frac{8}{4} kasrga o‘giring.
\frac{1}{4}x+\frac{-3+8}{4}=\frac{1}{3}\left(x+6\right)
-\frac{3}{4} va \frac{8}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{1}{4}x+\frac{5}{4}=\frac{1}{3}\left(x+6\right)
5 olish uchun -3 va 8'ni qo'shing.
\frac{1}{4}x+\frac{5}{4}=\frac{1}{3}x+\frac{1}{3}\times 6
\frac{1}{3} ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{1}{4}x+\frac{5}{4}=\frac{1}{3}x+\frac{6}{3}
\frac{6}{3} hosil qilish uchun \frac{1}{3} va 6 ni ko'paytirish.
\frac{1}{4}x+\frac{5}{4}=\frac{1}{3}x+2
2 ni olish uchun 6 ni 3 ga bo‘ling.
\frac{1}{4}x+\frac{5}{4}-\frac{1}{3}x=2
Ikkala tarafdan \frac{1}{3}x ni ayirish.
-\frac{1}{12}x+\frac{5}{4}=2
-\frac{1}{12}x ni olish uchun \frac{1}{4}x va -\frac{1}{3}x ni birlashtirish.
-\frac{1}{12}x=2-\frac{5}{4}
Ikkala tarafdan \frac{5}{4} ni ayirish.
-\frac{1}{12}x=\frac{8}{4}-\frac{5}{4}
2 ni \frac{8}{4} kasrga o‘giring.
-\frac{1}{12}x=\frac{8-5}{4}
\frac{8}{4} va \frac{5}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
-\frac{1}{12}x=\frac{3}{4}
3 olish uchun 8 dan 5 ni ayirish.
x=\frac{3}{4}\left(-12\right)
Ikki tarafini -12 va teskari kasri -\frac{1}{12} ga ko‘paytiring.
x=\frac{3\left(-12\right)}{4}
\frac{3}{4}\left(-12\right) ni yagona kasrga aylantiring.
x=\frac{-36}{4}
-36 hosil qilish uchun 3 va -12 ni ko'paytirish.
x=-9
-9 ni olish uchun -36 ni 4 ga bo‘ling.
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