Evaluate
5\left(x+1\right)
Expand
5x+5
Graph
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3\times \frac{2}{3}x+3+9\left(\frac{1}{3}x+\frac{2}{9}\right)
Use the distributive property to multiply 3 by \frac{2}{3}x+1.
2x+3+9\left(\frac{1}{3}x+\frac{2}{9}\right)
Cancel out 3 and 3.
2x+3+9\times \frac{1}{3}x+9\times \frac{2}{9}
Use the distributive property to multiply 9 by \frac{1}{3}x+\frac{2}{9}.
2x+3+\frac{9}{3}x+9\times \frac{2}{9}
Multiply 9 and \frac{1}{3} to get \frac{9}{3}.
2x+3+3x+9\times \frac{2}{9}
Divide 9 by 3 to get 3.
2x+3+3x+2
Cancel out 9 and 9.
5x+3+2
Combine 2x and 3x to get 5x.
5x+5
Add 3 and 2 to get 5.
3\times \frac{2}{3}x+3+9\left(\frac{1}{3}x+\frac{2}{9}\right)
Use the distributive property to multiply 3 by \frac{2}{3}x+1.
2x+3+9\left(\frac{1}{3}x+\frac{2}{9}\right)
Cancel out 3 and 3.
2x+3+9\times \frac{1}{3}x+9\times \frac{2}{9}
Use the distributive property to multiply 9 by \frac{1}{3}x+\frac{2}{9}.
2x+3+\frac{9}{3}x+9\times \frac{2}{9}
Multiply 9 and \frac{1}{3} to get \frac{9}{3}.
2x+3+3x+9\times \frac{2}{9}
Divide 9 by 3 to get 3.
2x+3+3x+2
Cancel out 9 and 9.
5x+3+2
Combine 2x and 3x to get 5x.
5x+5
Add 3 and 2 to get 5.
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}