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-5x-51
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-\left(3x+8-\left(-15+6x-3x-2-\left(5x+1\right)-20\right)\right)-5
To find the opposite of 3x+2, find the opposite of each term.
-\left(3x+8-\left(-15+3x-2-\left(5x+1\right)-20\right)\right)-5
Combine 6x and -3x to get 3x.
-\left(3x+8-\left(-17+3x-\left(5x+1\right)-20\right)\right)-5
Subtract 2 from -15 to get -17.
-\left(3x+8-\left(-17+3x-5x-1-20\right)\right)-5
To find the opposite of 5x+1, find the opposite of each term.
-\left(3x+8-\left(-17-2x-1-20\right)\right)-5
Combine 3x and -5x to get -2x.
-\left(3x+8-\left(-18-2x-20\right)\right)-5
Subtract 1 from -17 to get -18.
-\left(3x+8-\left(-38-2x\right)\right)-5
Subtract 20 from -18 to get -38.
-\left(3x+8-\left(-38\right)-\left(-2x\right)\right)-5
To find the opposite of -38-2x, find the opposite of each term.
-\left(3x+8+38-\left(-2x\right)\right)-5
The opposite of -38 is 38.
-\left(3x+8+38+2x\right)-5
The opposite of -2x is 2x.
-\left(3x+46+2x\right)-5
Add 8 and 38 to get 46.
-\left(5x+46\right)-5
Combine 3x and 2x to get 5x.
-5x-46-5
To find the opposite of 5x+46, find the opposite of each term.
-5x-51
Subtract 5 from -46 to get -51.
-\left(3x+8-\left(-15+6x-3x-2-\left(5x+1\right)-20\right)\right)-5
To find the opposite of 3x+2, find the opposite of each term.
-\left(3x+8-\left(-15+3x-2-\left(5x+1\right)-20\right)\right)-5
Combine 6x and -3x to get 3x.
-\left(3x+8-\left(-17+3x-\left(5x+1\right)-20\right)\right)-5
Subtract 2 from -15 to get -17.
-\left(3x+8-\left(-17+3x-5x-1-20\right)\right)-5
To find the opposite of 5x+1, find the opposite of each term.
-\left(3x+8-\left(-17-2x-1-20\right)\right)-5
Combine 3x and -5x to get -2x.
-\left(3x+8-\left(-18-2x-20\right)\right)-5
Subtract 1 from -17 to get -18.
-\left(3x+8-\left(-38-2x\right)\right)-5
Subtract 20 from -18 to get -38.
-\left(3x+8-\left(-38\right)-\left(-2x\right)\right)-5
To find the opposite of -38-2x, find the opposite of each term.
-\left(3x+8+38-\left(-2x\right)\right)-5
The opposite of -38 is 38.
-\left(3x+8+38+2x\right)-5
The opposite of -2x is 2x.
-\left(3x+46+2x\right)-5
Add 8 and 38 to get 46.
-\left(5x+46\right)-5
Combine 3x and 2x to get 5x.
-5x-46-5
To find the opposite of 5x+46, find the opposite of each term.
-5x-51
Subtract 5 from -46 to get -51.
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}