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\frac{1}{3}\left(7x+\frac{1}{5}\times 10x+\frac{1}{5}\left(-15\right)\right)
Use the distributive property to multiply \frac{1}{5} by 10x-15.
\frac{1}{3}\left(7x+\frac{10}{5}x+\frac{1}{5}\left(-15\right)\right)
Multiply \frac{1}{5} and 10 to get \frac{10}{5}.
\frac{1}{3}\left(7x+2x+\frac{1}{5}\left(-15\right)\right)
Divide 10 by 5 to get 2.
\frac{1}{3}\left(7x+2x+\frac{-15}{5}\right)
Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.
\frac{1}{3}\left(7x+2x-3\right)
Divide -15 by 5 to get -3.
\frac{1}{3}\left(9x-3\right)
Combine 7x and 2x to get 9x.
\frac{1}{3}\times 9x+\frac{1}{3}\left(-3\right)
Use the distributive property to multiply \frac{1}{3} by 9x-3.
\frac{9}{3}x+\frac{1}{3}\left(-3\right)
Multiply \frac{1}{3} and 9 to get \frac{9}{3}.
3x+\frac{1}{3}\left(-3\right)
Divide 9 by 3 to get 3.
3x+\frac{-3}{3}
Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.
3x-1
Divide -3 by 3 to get -1.
\frac{1}{3}\left(7x+\frac{1}{5}\times 10x+\frac{1}{5}\left(-15\right)\right)
Use the distributive property to multiply \frac{1}{5} by 10x-15.
\frac{1}{3}\left(7x+\frac{10}{5}x+\frac{1}{5}\left(-15\right)\right)
Multiply \frac{1}{5} and 10 to get \frac{10}{5}.
\frac{1}{3}\left(7x+2x+\frac{1}{5}\left(-15\right)\right)
Divide 10 by 5 to get 2.
\frac{1}{3}\left(7x+2x+\frac{-15}{5}\right)
Multiply \frac{1}{5} and -15 to get \frac{-15}{5}.
\frac{1}{3}\left(7x+2x-3\right)
Divide -15 by 5 to get -3.
\frac{1}{3}\left(9x-3\right)
Combine 7x and 2x to get 9x.
\frac{1}{3}\times 9x+\frac{1}{3}\left(-3\right)
Use the distributive property to multiply \frac{1}{3} by 9x-3.
\frac{9}{3}x+\frac{1}{3}\left(-3\right)
Multiply \frac{1}{3} and 9 to get \frac{9}{3}.
3x+\frac{1}{3}\left(-3\right)
Divide 9 by 3 to get 3.
3x+\frac{-3}{3}
Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.
3x-1
Divide -3 by 3 to get -1.
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}