x uchun yechish
x=4
Grafik
Baham ko'rish
Klipbordga nusxa olish
2\left(5x-16\right)=-\left(x+8\right)+4\left(x+1\right)
Tenglamaning ikkala tarafini 12 ga, 6,12,3 ning eng kichik karralisiga ko‘paytiring.
10x-32=-\left(x+8\right)+4\left(x+1\right)
2 ga 5x-16 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-32=-x-8+4\left(x+1\right)
x+8 teskarisini topish uchun har birining teskarisini toping.
10x-32=-x-8+4x+4
4 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-32=3x-8+4
3x ni olish uchun -x va 4x ni birlashtirish.
10x-32=3x-4
-4 olish uchun -8 va 4'ni qo'shing.
10x-32-3x=-4
Ikkala tarafdan 3x ni ayirish.
7x-32=-4
7x ni olish uchun 10x va -3x ni birlashtirish.
7x=-4+32
32 ni ikki tarafga qo’shing.
7x=28
28 olish uchun -4 va 32'ni qo'shing.
x=\frac{28}{7}
Ikki tarafini 7 ga bo‘ling.
x=4
4 ni olish uchun 28 ni 7 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}