Evaluate
\frac{x}{2}-\frac{24}{5}
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\frac{x}{2}-\frac{24}{5}
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\frac{1}{5}-\frac{7}{2}x-\left(5-4x\right)
Combine -\frac{x}{2} and -3x to get -\frac{7}{2}x.
\frac{1}{5}-\frac{7}{2}x-5-\left(-4x\right)
To find the opposite of 5-4x, find the opposite of each term.
\frac{1}{5}-\frac{7}{2}x-5+4x
The opposite of -4x is 4x.
\frac{1}{5}-\frac{7}{2}x-\frac{25}{5}+4x
Convert 5 to fraction \frac{25}{5}.
\frac{1-25}{5}-\frac{7}{2}x+4x
Since \frac{1}{5} and \frac{25}{5} have the same denominator, subtract them by subtracting their numerators.
-\frac{24}{5}-\frac{7}{2}x+4x
Subtract 25 from 1 to get -24.
-\frac{24}{5}+\frac{1}{2}x
Combine -\frac{7}{2}x and 4x to get \frac{1}{2}x.
\frac{1}{5}-\frac{7}{2}x-\left(5-4x\right)
Combine -\frac{x}{2} and -3x to get -\frac{7}{2}x.
\frac{1}{5}-\frac{7}{2}x-5-\left(-4x\right)
To find the opposite of 5-4x, find the opposite of each term.
\frac{1}{5}-\frac{7}{2}x-5+4x
The opposite of -4x is 4x.
\frac{1}{5}-\frac{7}{2}x-\frac{25}{5}+4x
Convert 5 to fraction \frac{25}{5}.
\frac{1-25}{5}-\frac{7}{2}x+4x
Since \frac{1}{5} and \frac{25}{5} have the same denominator, subtract them by subtracting their numerators.
-\frac{24}{5}-\frac{7}{2}x+4x
Subtract 25 from 1 to get -24.
-\frac{24}{5}+\frac{1}{2}x
Combine -\frac{7}{2}x and 4x to get \frac{1}{2}x.
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}