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57-4x
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6-12x+5\left(2x+8\right)-\left(2x-11\right)
Use the distributive property to multiply 6 by 1-2x.
6-12x+10x+40-\left(2x-11\right)
Use the distributive property to multiply 5 by 2x+8.
6-2x+40-\left(2x-11\right)
Combine -12x and 10x to get -2x.
46-2x-\left(2x-11\right)
Add 6 and 40 to get 46.
46-2x-2x-\left(-11\right)
To find the opposite of 2x-11, find the opposite of each term.
46-2x-2x+11
The opposite of -11 is 11.
46-4x+11
Combine -2x and -2x to get -4x.
57-4x
Add 46 and 11 to get 57.
6-12x+5\left(2x+8\right)-\left(2x-11\right)
Use the distributive property to multiply 6 by 1-2x.
6-12x+10x+40-\left(2x-11\right)
Use the distributive property to multiply 5 by 2x+8.
6-2x+40-\left(2x-11\right)
Combine -12x and 10x to get -2x.
46-2x-\left(2x-11\right)
Add 6 and 40 to get 46.
46-2x-2x-\left(-11\right)
To find the opposite of 2x-11, find the opposite of each term.
46-2x-2x+11
The opposite of -11 is 11.
46-4x+11
Combine -2x and -2x to get -4x.
57-4x
Add 46 and 11 to get 57.
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}