x uchun yechish
x=\frac{2}{3}\approx 0,666666667
Grafik
Baham ko'rish
Klipbordga nusxa olish
6-2\left(2x-1\right)=6x-\left(x-2\right)
Tenglamaning ikkala tarafini 6 ga, 3,6 ning eng kichik karralisiga ko‘paytiring.
6-4x+2=6x-\left(x-2\right)
-2 ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
8-4x=6x-\left(x-2\right)
8 olish uchun 6 va 2'ni qo'shing.
8-4x=6x-x-\left(-2\right)
x-2 teskarisini topish uchun har birining teskarisini toping.
8-4x=6x-x+2
-2 ning teskarisi 2 ga teng.
8-4x=5x+2
5x ni olish uchun 6x va -x ni birlashtirish.
8-4x-5x=2
Ikkala tarafdan 5x ni ayirish.
8-9x=2
-9x ni olish uchun -4x va -5x ni birlashtirish.
-9x=2-8
Ikkala tarafdan 8 ni ayirish.
-9x=-6
-6 olish uchun 2 dan 8 ni ayirish.
x=\frac{-6}{-9}
Ikki tarafini -9 ga bo‘ling.
x=\frac{2}{3}
\frac{-6}{-9} ulushini -3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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}