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\frac{x}{6}+47
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\frac{x}{6}+47
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5\times \frac{1}{3}x+35-3\left(\frac{1}{2}x-4\right)
Use the distributive property to multiply 5 by \frac{1}{3}x+7.
\frac{5}{3}x+35-3\left(\frac{1}{2}x-4\right)
Multiply 5 and \frac{1}{3} to get \frac{5}{3}.
\frac{5}{3}x+35-3\times \frac{1}{2}x+12
Use the distributive property to multiply -3 by \frac{1}{2}x-4.
\frac{5}{3}x+35+\frac{-3}{2}x+12
Multiply -3 and \frac{1}{2} to get \frac{-3}{2}.
\frac{5}{3}x+35-\frac{3}{2}x+12
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\frac{1}{6}x+35+12
Combine \frac{5}{3}x and -\frac{3}{2}x to get \frac{1}{6}x.
\frac{1}{6}x+47
Add 35 and 12 to get 47.
5\times \frac{1}{3}x+35-3\left(\frac{1}{2}x-4\right)
Use the distributive property to multiply 5 by \frac{1}{3}x+7.
\frac{5}{3}x+35-3\left(\frac{1}{2}x-4\right)
Multiply 5 and \frac{1}{3} to get \frac{5}{3}.
\frac{5}{3}x+35-3\times \frac{1}{2}x+12
Use the distributive property to multiply -3 by \frac{1}{2}x-4.
\frac{5}{3}x+35+\frac{-3}{2}x+12
Multiply -3 and \frac{1}{2} to get \frac{-3}{2}.
\frac{5}{3}x+35-\frac{3}{2}x+12
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\frac{1}{6}x+35+12
Combine \frac{5}{3}x and -\frac{3}{2}x to get \frac{1}{6}x.
\frac{1}{6}x+47
Add 35 and 12 to get 47.
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}