\left. \begin{array} { l } { 2 ( x - 1 ) + ( x - 2 ) + ( x - 3 ) } \\ { + x - 2 ( x - ( x - 1 ) + 2 ( x - x ) } \end{array} \right.
Evaluate
5x-9
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5x-9
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2x-2+x-2+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Use the distributive property to multiply 2 by x-1.
3x-2-2+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 2x and x to get 3x.
3x-4+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Subtract 2 from -2 to get -4.
4x-4-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 3x and x to get 4x.
4x-7+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Subtract 3 from -4 to get -7.
5x-7-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 4x and x to get 5x.
5x-7-2\left(x-x-\left(-1\right)+2\left(x-x\right)\right)
To find the opposite of x-1, find the opposite of each term.
5x-7-2\left(x-x+1+2\left(x-x\right)\right)
The opposite of -1 is 1.
5x-7-2\left(1+2\left(x-x\right)\right)
Combine x and -x to get 0.
5x-7-2\left(1+2\times 0\right)
Combine x and -x to get 0.
5x-7-2\left(1+0\right)
Multiply 2 and 0 to get 0.
5x-7-2\times 1
Add 1 and 0 to get 1.
5x-7-2
Multiply 2 and 1 to get 2.
5x-9
Subtract 2 from -7 to get -9.
2x-2+x-2+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Use the distributive property to multiply 2 by x-1.
3x-2-2+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 2x and x to get 3x.
3x-4+x-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Subtract 2 from -2 to get -4.
4x-4-3+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 3x and x to get 4x.
4x-7+x-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Subtract 3 from -4 to get -7.
5x-7-2\left(x-\left(x-1\right)+2\left(x-x\right)\right)
Combine 4x and x to get 5x.
5x-7-2\left(x-x-\left(-1\right)+2\left(x-x\right)\right)
To find the opposite of x-1, find the opposite of each term.
5x-7-2\left(x-x+1+2\left(x-x\right)\right)
The opposite of -1 is 1.
5x-7-2\left(1+2\left(x-x\right)\right)
Combine x and -x to get 0.
5x-7-2\left(1+2\times 0\right)
Combine x and -x to get 0.
5x-7-2\left(1+0\right)
Multiply 2 and 0 to get 0.
5x-7-2\times 1
Add 1 and 0 to get 1.
5x-7-2
Multiply 2 and 1 to get 2.
5x-9
Subtract 2 from -7 to get -9.
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}