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32x-28y-7z
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32x-28y-7z
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8x-15y-6z-\left(-12x\right)-\left(-13x+12y\right)-\left(x+y+z\right)
To find the opposite of 15y+6z-12x, find the opposite of each term.
8x-15y-6z+12x-\left(-13x+12y\right)-\left(x+y+z\right)
The opposite of -12x is 12x.
20x-15y-6z-\left(-13x+12y\right)-\left(x+y+z\right)
Combine 8x and 12x to get 20x.
20x-15y-6z-\left(-13x\right)-12y-\left(x+y+z\right)
To find the opposite of -13x+12y, find the opposite of each term.
20x-15y-6z+13x-12y-\left(x+y+z\right)
The opposite of -13x is 13x.
33x-15y-6z-12y-\left(x+y+z\right)
Combine 20x and 13x to get 33x.
33x-27y-6z-\left(x+y+z\right)
Combine -15y and -12y to get -27y.
33x-27y-6z-x-y-z
To find the opposite of x+y+z, find the opposite of each term.
32x-27y-6z-y-z
Combine 33x and -x to get 32x.
32x-28y-6z-z
Combine -27y and -y to get -28y.
32x-28y-7z
Combine -6z and -z to get -7z.
8x-15y-6z-\left(-12x\right)-\left(-13x+12y\right)-\left(x+y+z\right)
To find the opposite of 15y+6z-12x, find the opposite of each term.
8x-15y-6z+12x-\left(-13x+12y\right)-\left(x+y+z\right)
The opposite of -12x is 12x.
20x-15y-6z-\left(-13x+12y\right)-\left(x+y+z\right)
Combine 8x and 12x to get 20x.
20x-15y-6z-\left(-13x\right)-12y-\left(x+y+z\right)
To find the opposite of -13x+12y, find the opposite of each term.
20x-15y-6z+13x-12y-\left(x+y+z\right)
The opposite of -13x is 13x.
33x-15y-6z-12y-\left(x+y+z\right)
Combine 20x and 13x to get 33x.
33x-27y-6z-\left(x+y+z\right)
Combine -15y and -12y to get -27y.
33x-27y-6z-x-y-z
To find the opposite of x+y+z, find the opposite of each term.
32x-27y-6z-y-z
Combine 33x and -x to get 32x.
32x-28y-6z-z
Combine -27y and -y to get -28y.
32x-28y-7z
Combine -6z and -z to get -7z.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}