x uchun yechish
x=1
Grafik
Baham ko'rish
Klipbordga nusxa olish
4\times 5x-3\left(x-2\right)=27-6\left(x-\frac{2x-1}{3}\right)
Tenglamaning ikkala tarafini 12 ga, 3,4,2 ning eng kichik karralisiga ko‘paytiring.
20x-3\left(x-2\right)=27-6\left(x-\frac{2x-1}{3}\right)
20 hosil qilish uchun 4 va 5 ni ko'paytirish.
20x-3x+6=27-6\left(x-\frac{2x-1}{3}\right)
-3 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
17x+6=27-6\left(x-\frac{2x-1}{3}\right)
17x ni olish uchun 20x va -3x ni birlashtirish.
17x+6=27-6\left(x-\left(\frac{2}{3}x-\frac{1}{3}\right)\right)
\frac{2}{3}x-\frac{1}{3} natijani olish uchun 2x-1 ning har bir ifodasini 3 ga bo‘ling.
17x+6=27-6\left(x-\frac{2}{3}x-\left(-\frac{1}{3}\right)\right)
\frac{2}{3}x-\frac{1}{3} teskarisini topish uchun har birining teskarisini toping.
17x+6=27-6\left(x-\frac{2}{3}x+\frac{1}{3}\right)
-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.
17x+6=27-6\left(\frac{1}{3}x+\frac{1}{3}\right)
\frac{1}{3}x ni olish uchun x va -\frac{2}{3}x ni birlashtirish.
17x+6=27-6\times \frac{1}{3}x-6\times \frac{1}{3}
-6 ga \frac{1}{3}x+\frac{1}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
17x+6=27+\frac{-6}{3}x-6\times \frac{1}{3}
\frac{-6}{3} hosil qilish uchun -6 va \frac{1}{3} ni ko'paytirish.
17x+6=27-2x-6\times \frac{1}{3}
-2 ni olish uchun -6 ni 3 ga bo‘ling.
17x+6=27-2x+\frac{-6}{3}
\frac{-6}{3} hosil qilish uchun -6 va \frac{1}{3} ni ko'paytirish.
17x+6=27-2x-2
-2 ni olish uchun -6 ni 3 ga bo‘ling.
17x+6=25-2x
25 olish uchun 27 dan 2 ni ayirish.
17x+6+2x=25
2x ni ikki tarafga qo’shing.
19x+6=25
19x ni olish uchun 17x va 2x ni birlashtirish.
19x=25-6
Ikkala tarafdan 6 ni ayirish.
19x=19
19 olish uchun 25 dan 6 ni ayirish.
x=\frac{19}{19}
Ikki tarafini 19 ga bo‘ling.
x=1
1 ni olish uchun 19 ni 19 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}