x uchun yechish
x=4
Grafik
Baham ko'rish
Klipbordga nusxa olish
4\left(x+1\right)-3\left(x-4\right)=5x
Tenglamaning ikkala tarafini 12 ga, 3,4,12 ning eng kichik karralisiga ko‘paytiring.
4x+4-3\left(x-4\right)=5x
4 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x+4-3x+12=5x
-3 ga x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x+4+12=5x
x ni olish uchun 4x va -3x ni birlashtirish.
x+16=5x
16 olish uchun 4 va 12'ni qo'shing.
x+16-5x=0
Ikkala tarafdan 5x ni ayirish.
-4x+16=0
-4x ni olish uchun x va -5x ni birlashtirish.
-4x=-16
Ikkala tarafdan 16 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.
x=\frac{-16}{-4}
Ikki tarafini -4 ga bo‘ling.
x=4
4 ni olish uchun -16 ni -4 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}