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2x-\left(8x+4-\left(5x-6x-7\right)\right)+7x+12
To find the opposite of 6x+7, find the opposite of each term.
2x-\left(8x+4-\left(-x-7\right)\right)+7x+12
Combine 5x and -6x to get -x.
2x-\left(8x+4-\left(-x\right)-\left(-7\right)\right)+7x+12
To find the opposite of -x-7, find the opposite of each term.
2x-\left(8x+4+x-\left(-7\right)\right)+7x+12
The opposite of -x is x.
2x-\left(8x+4+x+7\right)+7x+12
The opposite of -7 is 7.
2x-\left(9x+4+7\right)+7x+12
Combine 8x and x to get 9x.
2x-\left(9x+11\right)+7x+12
Add 4 and 7 to get 11.
2x-9x-11+7x+12
To find the opposite of 9x+11, find the opposite of each term.
-7x-11+7x+12
Combine 2x and -9x to get -7x.
-11+12
Combine -7x and 7x to get 0.
1
Add -11 and 12 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}