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6-2x-6\left(x+2\right)-7\left(-x-1\right)
Use the distributive property to multiply 2 by 3-x.
6-2x-6x-12-7\left(-x-1\right)
Use the distributive property to multiply -6 by x+2.
6-8x-12-7\left(-x-1\right)
Combine -2x and -6x to get -8x.
-6-8x-7\left(-x-1\right)
Subtract 12 from 6 to get -6.
-6-8x-7\left(-x\right)+7
Use the distributive property to multiply -7 by -x-1.
-6-8x+7x+7
Multiply -7 and -1 to get 7.
-6-x+7
Combine -8x and 7x to get -x.
1-x
Add -6 and 7 to get 1.
6-2x-6\left(x+2\right)-7\left(-x-1\right)
Use the distributive property to multiply 2 by 3-x.
6-2x-6x-12-7\left(-x-1\right)
Use the distributive property to multiply -6 by x+2.
6-8x-12-7\left(-x-1\right)
Combine -2x and -6x to get -8x.
-6-8x-7\left(-x-1\right)
Subtract 12 from 6 to get -6.
-6-8x-7\left(-x\right)+7
Use the distributive property to multiply -7 by -x-1.
-6-8x+7x+7
Multiply -7 and -1 to get 7.
-6-x+7
Combine -8x and 7x to get -x.
1-x
Add -6 and 7 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}