Evaluate
\frac{x}{6}+\frac{3}{2}
Expand
\frac{x}{6}+\frac{3}{2}
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\frac{5}{6}x+\frac{10+1}{2}-\left(\frac{2}{3}x+4\right)
Multiply 5 and 2 to get 10.
\frac{5}{6}x+\frac{11}{2}-\left(\frac{2}{3}x+4\right)
Add 10 and 1 to get 11.
\frac{5}{6}x+\frac{11}{2}-\frac{2}{3}x-4
To find the opposite of \frac{2}{3}x+4, find the opposite of each term.
\frac{1}{6}x+\frac{11}{2}-4
Combine \frac{5}{6}x and -\frac{2}{3}x to get \frac{1}{6}x.
\frac{1}{6}x+\frac{11}{2}-\frac{8}{2}
Convert 4 to fraction \frac{8}{2}.
\frac{1}{6}x+\frac{11-8}{2}
Since \frac{11}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{6}x+\frac{3}{2}
Subtract 8 from 11 to get 3.
\frac{5}{6}x+\frac{10+1}{2}-\left(\frac{2}{3}x+4\right)
Multiply 5 and 2 to get 10.
\frac{5}{6}x+\frac{11}{2}-\left(\frac{2}{3}x+4\right)
Add 10 and 1 to get 11.
\frac{5}{6}x+\frac{11}{2}-\frac{2}{3}x-4
To find the opposite of \frac{2}{3}x+4, find the opposite of each term.
\frac{1}{6}x+\frac{11}{2}-4
Combine \frac{5}{6}x and -\frac{2}{3}x to get \frac{1}{6}x.
\frac{1}{6}x+\frac{11}{2}-\frac{8}{2}
Convert 4 to fraction \frac{8}{2}.
\frac{1}{6}x+\frac{11-8}{2}
Since \frac{11}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{6}x+\frac{3}{2}
Subtract 8 from 11 to get 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}