x uchun yechish
x = \frac{5}{2} = 2\frac{1}{2} = 2,5
Grafik
Baham ko'rish
Klipbordga nusxa olish
2x-5-3=6\left(x-3\right)
Tenglamaning ikkala tarafini 3 ga ko'paytirish.
2x-8=6\left(x-3\right)
-8 olish uchun -5 dan 3 ni ayirish.
2x-8=6x-18
6 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-8-6x=-18
Ikkala tarafdan 6x ni ayirish.
-4x-8=-18
-4x ni olish uchun 2x va -6x ni birlashtirish.
-4x=-18+8
8 ni ikki tarafga qo’shing.
-4x=-10
-10 olish uchun -18 va 8'ni qo'shing.
x=\frac{-10}{-4}
Ikki tarafini -4 ga bo‘ling.
x=\frac{5}{2}
\frac{-10}{-4} 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}