0,2 x - [ 2 x - 5 y - ( 0,1 x - 3 y + 0,3 z ) ] - ( - \frac { 7 } { 10 } x - \frac { 5 } { 3 } z )
Evaluate
\frac{59z}{30}+2y-x
Expand
\frac{59z}{30}+2y-x
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0,2x-\left(2x-5y-0,1x-\left(-3y\right)-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
To find the opposite of 0,1x-3y+0,3z, find the opposite of each term.
0,2x-\left(2x-5y-0,1x+3y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -3y is 3y.
0,2x-\left(1,9x-5y+3y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine 2x and -0,1x to get 1,9x.
0,2x-\left(1,9x-2y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine -5y and 3y to get -2y.
0,2x-1,9x-\left(-2y\right)-\left(-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
To find the opposite of 1,9x-2y-0,3z, find the opposite of each term.
0,2x-1,9x+2y-\left(-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -2y is 2y.
0,2x-1,9x+2y+0,3z-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -0,3z is 0,3z.
-1,7x+2y+0,3z-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine 0,2x and -1,9x to get -1,7x.
-1,7x+2y+0,3z-\left(-\frac{7}{10}x\right)-\left(-\frac{5}{3}z\right)
To find the opposite of -\frac{7}{10}x-\frac{5}{3}z, find the opposite of each term.
-1,7x+2y+0,3z+\frac{7}{10}x-\left(-\frac{5}{3}z\right)
The opposite of -\frac{7}{10}x is \frac{7}{10}x.
-1,7x+2y+0,3z+\frac{7}{10}x+\frac{5}{3}z
The opposite of -\frac{5}{3}z is \frac{5}{3}z.
-x+2y+0,3z+\frac{5}{3}z
Combine -1,7x and \frac{7}{10}x to get -x.
-x+2y+\frac{59}{30}z
Combine 0,3z and \frac{5}{3}z to get \frac{59}{30}z.
0,2x-\left(2x-5y-0,1x-\left(-3y\right)-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
To find the opposite of 0,1x-3y+0,3z, find the opposite of each term.
0,2x-\left(2x-5y-0,1x+3y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -3y is 3y.
0,2x-\left(1,9x-5y+3y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine 2x and -0,1x to get 1,9x.
0,2x-\left(1,9x-2y-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine -5y and 3y to get -2y.
0,2x-1,9x-\left(-2y\right)-\left(-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
To find the opposite of 1,9x-2y-0,3z, find the opposite of each term.
0,2x-1,9x+2y-\left(-0,3z\right)-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -2y is 2y.
0,2x-1,9x+2y+0,3z-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
The opposite of -0,3z is 0,3z.
-1,7x+2y+0,3z-\left(-\frac{7}{10}x-\frac{5}{3}z\right)
Combine 0,2x and -1,9x to get -1,7x.
-1,7x+2y+0,3z-\left(-\frac{7}{10}x\right)-\left(-\frac{5}{3}z\right)
To find the opposite of -\frac{7}{10}x-\frac{5}{3}z, find the opposite of each term.
-1,7x+2y+0,3z+\frac{7}{10}x-\left(-\frac{5}{3}z\right)
The opposite of -\frac{7}{10}x is \frac{7}{10}x.
-1,7x+2y+0,3z+\frac{7}{10}x+\frac{5}{3}z
The opposite of -\frac{5}{3}z is \frac{5}{3}z.
-x+2y+0,3z+\frac{5}{3}z
Combine -1,7x and \frac{7}{10}x to get -x.
-x+2y+\frac{59}{30}z
Combine 0,3z and \frac{5}{3}z to get \frac{59}{30}z.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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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}