x uchun yechish
x = \frac{8}{5} = 1\frac{3}{5} = 1,6
Grafik
Baham ko'rish
Klipbordga nusxa olish
2\left(x-4\right)=7\left(3x-2\right)+4x-42+14x-7x
Tenglamaning ikkala tarafini 14 ga, 7,2 ning eng kichik karralisiga ko‘paytiring.
2x-8=7\left(3x-2\right)+4x-42+14x-7x
2 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-8=21x-14+4x-42+14x-7x
7 ga 3x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2x-8=25x-14-42+14x-7x
25x ni olish uchun 21x va 4x ni birlashtirish.
2x-8=25x-56+14x-7x
-56 olish uchun -14 dan 42 ni ayirish.
2x-8=39x-56-7x
39x ni olish uchun 25x va 14x ni birlashtirish.
2x-8=32x-56
32x ni olish uchun 39x va -7x ni birlashtirish.
2x-8-32x=-56
Ikkala tarafdan 32x ni ayirish.
-30x-8=-56
-30x ni olish uchun 2x va -32x ni birlashtirish.
-30x=-56+8
8 ni ikki tarafga qo’shing.
-30x=-48
-48 olish uchun -56 va 8'ni qo'shing.
x=\frac{-48}{-30}
Ikki tarafini -30 ga bo‘ling.
x=\frac{8}{5}
\frac{-48}{-30} ulushini -6 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}