x uchun yechish
x = \frac{16}{5} = 3\frac{1}{5} = 3,2
Grafik
Baham ko'rish
Klipbordga nusxa olish
4x+12-5\left(2x-6\right)=2\left(4x-3\right)+x
4 ga x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x+12-10x+30=2\left(4x-3\right)+x
-5 ga 2x-6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-6x+12+30=2\left(4x-3\right)+x
-6x ni olish uchun 4x va -10x ni birlashtirish.
-6x+42=2\left(4x-3\right)+x
42 olish uchun 12 va 30'ni qo'shing.
-6x+42=8x-6+x
2 ga 4x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-6x+42=9x-6
9x ni olish uchun 8x va x ni birlashtirish.
-6x+42-9x=-6
Ikkala tarafdan 9x ni ayirish.
-15x+42=-6
-15x ni olish uchun -6x va -9x ni birlashtirish.
-15x=-6-42
Ikkala tarafdan 42 ni ayirish.
-15x=-48
-48 olish uchun -6 dan 42 ni ayirish.
x=\frac{-48}{-15}
Ikki tarafini -15 ga bo‘ling.
x=\frac{16}{5}
\frac{-48}{-15} ulushini -3 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}