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4x+25
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4x+25
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8x-6x+12-\left(-2\left(4x+4\right)+3\right)-6x+8
Use the distributive property to multiply -3 by 2x-4.
2x+12-\left(-2\left(4x+4\right)+3\right)-6x+8
Combine 8x and -6x to get 2x.
2x+12-\left(-8x-8+3\right)-6x+8
Use the distributive property to multiply -2 by 4x+4.
2x+12-\left(-8x-5\right)-6x+8
Add -8 and 3 to get -5.
2x+12-\left(-8x\right)-\left(-5\right)-6x+8
To find the opposite of -8x-5, find the opposite of each term.
2x+12+8x-\left(-5\right)-6x+8
The opposite of -8x is 8x.
2x+12+8x+5-6x+8
The opposite of -5 is 5.
10x+12+5-6x+8
Combine 2x and 8x to get 10x.
10x+17-6x+8
Add 12 and 5 to get 17.
4x+17+8
Combine 10x and -6x to get 4x.
4x+25
Add 17 and 8 to get 25.
8x-6x+12-\left(-2\left(4x+4\right)+3\right)-6x+8
Use the distributive property to multiply -3 by 2x-4.
2x+12-\left(-2\left(4x+4\right)+3\right)-6x+8
Combine 8x and -6x to get 2x.
2x+12-\left(-8x-8+3\right)-6x+8
Use the distributive property to multiply -2 by 4x+4.
2x+12-\left(-8x-5\right)-6x+8
Add -8 and 3 to get -5.
2x+12-\left(-8x\right)-\left(-5\right)-6x+8
To find the opposite of -8x-5, find the opposite of each term.
2x+12+8x-\left(-5\right)-6x+8
The opposite of -8x is 8x.
2x+12+8x+5-6x+8
The opposite of -5 is 5.
10x+12+5-6x+8
Combine 2x and 8x to get 10x.
10x+17-6x+8
Add 12 and 5 to get 17.
4x+17+8
Combine 10x and -6x to get 4x.
4x+25
Add 17 and 8 to get 25.
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}