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4x-7
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\frac{1}{3}\times 15x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Use the distributive property to multiply \frac{1}{3} by 15x-9.
\frac{15}{3}x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Multiply \frac{1}{3} and 15 to get \frac{15}{3}.
5x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Divide 15 by 3 to get 5.
5x+\frac{-9}{3}-\left(x+4\right)
Multiply \frac{1}{3} and -9 to get \frac{-9}{3}.
5x-3-\left(x+4\right)
Divide -9 by 3 to get -3.
5x-3-x-4
To find the opposite of x+4, find the opposite of each term.
4x-3-4
Combine 5x and -x to get 4x.
4x-7
Subtract 4 from -3 to get -7.
\frac{1}{3}\times 15x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Use the distributive property to multiply \frac{1}{3} by 15x-9.
\frac{15}{3}x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Multiply \frac{1}{3} and 15 to get \frac{15}{3}.
5x+\frac{1}{3}\left(-9\right)-\left(x+4\right)
Divide 15 by 3 to get 5.
5x+\frac{-9}{3}-\left(x+4\right)
Multiply \frac{1}{3} and -9 to get \frac{-9}{3}.
5x-3-\left(x+4\right)
Divide -9 by 3 to get -3.
5x-3-x-4
To find the opposite of x+4, find the opposite of each term.
4x-3-4
Combine 5x and -x to get 4x.
4x-7
Subtract 4 from -3 to get -7.
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}