x uchun yechish
x=\frac{1}{3}\approx 0,333333333
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(2x-3x-3\right)+8=4x-\left(x+3\right)
-3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
3\left(-x-3\right)+8=4x-\left(x+3\right)
-x ni olish uchun 2x va -3x ni birlashtirish.
-3x-9+8=4x-\left(x+3\right)
3 ga -x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-3x-1=4x-\left(x+3\right)
-1 olish uchun -9 va 8'ni qo'shing.
-3x-1=4x-x-3
x+3 teskarisini topish uchun har birining teskarisini toping.
-3x-1=3x-3
3x ni olish uchun 4x va -x ni birlashtirish.
-3x-1-3x=-3
Ikkala tarafdan 3x ni ayirish.
-6x-1=-3
-6x ni olish uchun -3x va -3x ni birlashtirish.
-6x=-3+1
1 ni ikki tarafga qo’shing.
-6x=-2
-2 olish uchun -3 va 1'ni qo'shing.
x=\frac{-2}{-6}
Ikki tarafini -6 ga bo‘ling.
x=\frac{1}{3}
\frac{-2}{-6} ulushini -2 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}