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20x-16
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20x-16
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\frac{1}{2}\times 36x+\frac{1}{2}\left(-14\right)+2x-9
Use the distributive property to multiply \frac{1}{2} by 36x-14.
\frac{36}{2}x+\frac{1}{2}\left(-14\right)+2x-9
Multiply \frac{1}{2} and 36 to get \frac{36}{2}.
18x+\frac{1}{2}\left(-14\right)+2x-9
Divide 36 by 2 to get 18.
18x+\frac{-14}{2}+2x-9
Multiply \frac{1}{2} and -14 to get \frac{-14}{2}.
18x-7+2x-9
Divide -14 by 2 to get -7.
20x-7-9
Combine 18x and 2x to get 20x.
20x-16
Subtract 9 from -7 to get -16.
\frac{1}{2}\times 36x+\frac{1}{2}\left(-14\right)+2x-9
Use the distributive property to multiply \frac{1}{2} by 36x-14.
\frac{36}{2}x+\frac{1}{2}\left(-14\right)+2x-9
Multiply \frac{1}{2} and 36 to get \frac{36}{2}.
18x+\frac{1}{2}\left(-14\right)+2x-9
Divide 36 by 2 to get 18.
18x+\frac{-14}{2}+2x-9
Multiply \frac{1}{2} and -14 to get \frac{-14}{2}.
18x-7+2x-9
Divide -14 by 2 to get -7.
20x-7-9
Combine 18x and 2x to get 20x.
20x-16
Subtract 9 from -7 to get -16.
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}