x uchun yechish
x=\frac{1}{3}\approx 0,333333333
Grafik
Baham ko'rish
Klipbordga nusxa olish
5-x+8\left(x-1\right)=4x-\left(3x+1\right)
Tenglamaning ikkala tarafini 2 ga ko'paytirish.
5-x+8x-8=4x-\left(3x+1\right)
8 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
5+7x-8=4x-\left(3x+1\right)
7x ni olish uchun -x va 8x ni birlashtirish.
-3+7x=4x-\left(3x+1\right)
-3 olish uchun 5 dan 8 ni ayirish.
-3+7x=4x-3x-1
3x+1 teskarisini topish uchun har birining teskarisini toping.
-3+7x=x-1
x ni olish uchun 4x va -3x ni birlashtirish.
-3+7x-x=-1
Ikkala tarafdan x ni ayirish.
-3+6x=-1
6x ni olish uchun 7x va -x ni birlashtirish.
6x=-1+3
3 ni ikki tarafga qo’shing.
6x=2
2 olish uchun -1 va 3'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}