3+2(2x-(3x-1)+(9-4(x+3)
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-10x-1
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-10x-1
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3+2\left(2x-3x-\left(-1\right)+9-4\left(x+3\right)\right)
To find the opposite of 3x-1, find the opposite of each term.
3+2\left(2x-3x+1+9-4\left(x+3\right)\right)
The opposite of -1 is 1.
3+2\left(-x+1+9-4\left(x+3\right)\right)
Combine 2x and -3x to get -x.
3+2\left(-x+10-4\left(x+3\right)\right)
Add 1 and 9 to get 10.
3+2\left(-x+10-4x-12\right)
Use the distributive property to multiply -4 by x+3.
3+2\left(-5x+10-12\right)
Combine -x and -4x to get -5x.
3+2\left(-5x-2\right)
Subtract 12 from 10 to get -2.
3-10x-4
Use the distributive property to multiply 2 by -5x-2.
-1-10x
Subtract 4 from 3 to get -1.
3+2\left(2x-3x-\left(-1\right)+9-4\left(x+3\right)\right)
To find the opposite of 3x-1, find the opposite of each term.
3+2\left(2x-3x+1+9-4\left(x+3\right)\right)
The opposite of -1 is 1.
3+2\left(-x+1+9-4\left(x+3\right)\right)
Combine 2x and -3x to get -x.
3+2\left(-x+10-4\left(x+3\right)\right)
Add 1 and 9 to get 10.
3+2\left(-x+10-4x-12\right)
Use the distributive property to multiply -4 by x+3.
3+2\left(-5x+10-12\right)
Combine -x and -4x to get -5x.
3+2\left(-5x-2\right)
Subtract 12 from 10 to get -2.
3-10x-4
Use the distributive property to multiply 2 by -5x-2.
-1-10x
Subtract 4 from 3 to get -1.
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}