Evaluate
2\left(5x-3y+z\right)
Expand
10x-6y+2z
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5x-y-\left(3y-z-\left(-2y\right)-x-4x\right)+z
To find the opposite of z-2y+x, find the opposite of each term.
5x-y-\left(3y-z+2y-x-4x\right)+z
The opposite of -2y is 2y.
5x-y-\left(5y-z-x-4x\right)+z
Combine 3y and 2y to get 5y.
5x-y-\left(5y-z-5x\right)+z
Combine -x and -4x to get -5x.
5x-y-5y-\left(-z\right)-\left(-5x\right)+z
To find the opposite of 5y-z-5x, find the opposite of each term.
5x-y-5y+z-\left(-5x\right)+z
The opposite of -z is z.
5x-y-5y+z+5x+z
The opposite of -5x is 5x.
5x-6y+z+5x+z
Combine -y and -5y to get -6y.
10x-6y+z+z
Combine 5x and 5x to get 10x.
10x-6y+2z
Combine z and z to get 2z.
5x-y-\left(3y-z-\left(-2y\right)-x-4x\right)+z
To find the opposite of z-2y+x, find the opposite of each term.
5x-y-\left(3y-z+2y-x-4x\right)+z
The opposite of -2y is 2y.
5x-y-\left(5y-z-x-4x\right)+z
Combine 3y and 2y to get 5y.
5x-y-\left(5y-z-5x\right)+z
Combine -x and -4x to get -5x.
5x-y-5y-\left(-z\right)-\left(-5x\right)+z
To find the opposite of 5y-z-5x, find the opposite of each term.
5x-y-5y+z-\left(-5x\right)+z
The opposite of -z is z.
5x-y-5y+z+5x+z
The opposite of -5x is 5x.
5x-6y+z+5x+z
Combine -y and -5y to get -6y.
10x-6y+z+z
Combine 5x and 5x to get 10x.
10x-6y+2z
Combine z and z to get 2z.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}