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6x+6-3\left(2x-1\right)-10+3x-2\left(-3+x\right)
Use the distributive property to multiply 6 by x+1.
6x+6-6x+3-10+3x-2\left(-3+x\right)
Use the distributive property to multiply -3 by 2x-1.
6+3-10+3x-2\left(-3+x\right)
Combine 6x and -6x to get 0.
9-10+3x-2\left(-3+x\right)
Add 6 and 3 to get 9.
-1+3x-2\left(-3+x\right)
Subtract 10 from 9 to get -1.
-1+3x+6-2x
Use the distributive property to multiply -2 by -3+x.
5+3x-2x
Add -1 and 6 to get 5.
5+x
Combine 3x and -2x to get x.
6x+6-3\left(2x-1\right)-10+3x-2\left(-3+x\right)
Use the distributive property to multiply 6 by x+1.
6x+6-6x+3-10+3x-2\left(-3+x\right)
Use the distributive property to multiply -3 by 2x-1.
6+3-10+3x-2\left(-3+x\right)
Combine 6x and -6x to get 0.
9-10+3x-2\left(-3+x\right)
Add 6 and 3 to get 9.
-1+3x-2\left(-3+x\right)
Subtract 10 from 9 to get -1.
-1+3x+6-2x
Use the distributive property to multiply -2 by -3+x.
5+3x-2x
Add -1 and 6 to get 5.
5+x
Combine 3x and -2x to get x.
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}