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8x-3
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8x-3
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\frac{3}{2}\left(6x-2\right)-x
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{3}{2}\times 6x+\frac{3}{2}\left(-2\right)-x
Use the distributive property to multiply \frac{3}{2} by 6x-2.
\frac{3\times 6}{2}x+\frac{3}{2}\left(-2\right)-x
Express \frac{3}{2}\times 6 as a single fraction.
\frac{18}{2}x+\frac{3}{2}\left(-2\right)-x
Multiply 3 and 6 to get 18.
9x+\frac{3}{2}\left(-2\right)-x
Divide 18 by 2 to get 9.
9x+\frac{3\left(-2\right)}{2}-x
Express \frac{3}{2}\left(-2\right) as a single fraction.
9x+\frac{-6}{2}-x
Multiply 3 and -2 to get -6.
9x-3-x
Divide -6 by 2 to get -3.
8x-3
Combine 9x and -x to get 8x.
\frac{3}{2}\left(6x-2\right)-x
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{3}{2}\times 6x+\frac{3}{2}\left(-2\right)-x
Use the distributive property to multiply \frac{3}{2} by 6x-2.
\frac{3\times 6}{2}x+\frac{3}{2}\left(-2\right)-x
Express \frac{3}{2}\times 6 as a single fraction.
\frac{18}{2}x+\frac{3}{2}\left(-2\right)-x
Multiply 3 and 6 to get 18.
9x+\frac{3}{2}\left(-2\right)-x
Divide 18 by 2 to get 9.
9x+\frac{3\left(-2\right)}{2}-x
Express \frac{3}{2}\left(-2\right) as a single fraction.
9x+\frac{-6}{2}-x
Multiply 3 and -2 to get -6.
9x-3-x
Divide -6 by 2 to get -3.
8x-3
Combine 9x and -x to get 8x.
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}