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12x-y-1
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12x-y-1
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\frac{4}{2}\left(3x+y-2\right)+\frac{1}{2}\left(2x-y+1\right)\times 6
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
2\left(3x+y-2\right)+\frac{1}{2}\left(2x-y+1\right)\times 6
Divide 4 by 2 to get 2.
6x+2y-4+\frac{1}{2}\left(2x-y+1\right)\times 6
Use the distributive property to multiply 2 by 3x+y-2.
6x+2y-4+\frac{6}{2}\left(2x-y+1\right)
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
6x+2y-4+3\left(2x-y+1\right)
Divide 6 by 2 to get 3.
6x+2y-4+6x-3y+3
Use the distributive property to multiply 3 by 2x-y+1.
12x+2y-4-3y+3
Combine 6x and 6x to get 12x.
12x-y-4+3
Combine 2y and -3y to get -y.
12x-y-1
Add -4 and 3 to get -1.
\frac{4}{2}\left(3x+y-2\right)+\frac{1}{2}\left(2x-y+1\right)\times 6
Multiply \frac{1}{2} and 4 to get \frac{4}{2}.
2\left(3x+y-2\right)+\frac{1}{2}\left(2x-y+1\right)\times 6
Divide 4 by 2 to get 2.
6x+2y-4+\frac{1}{2}\left(2x-y+1\right)\times 6
Use the distributive property to multiply 2 by 3x+y-2.
6x+2y-4+\frac{6}{2}\left(2x-y+1\right)
Multiply \frac{1}{2} and 6 to get \frac{6}{2}.
6x+2y-4+3\left(2x-y+1\right)
Divide 6 by 2 to get 3.
6x+2y-4+6x-3y+3
Use the distributive property to multiply 3 by 2x-y+1.
12x+2y-4-3y+3
Combine 6x and 6x to get 12x.
12x-y-4+3
Combine 2y and -3y to get -y.
12x-y-1
Add -4 and 3 to get -1.
Examples
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{ 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}