Evaluate
-\frac{3x}{2}+6
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-\frac{3x}{2}+6
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\left(2x-8\right)\left(-1+\frac{1}{4}\right)
Divide 3 by 3 to get 1.
\left(2x-8\right)\left(-\frac{4}{4}+\frac{1}{4}\right)
Convert -1 to fraction -\frac{4}{4}.
\left(2x-8\right)\times \frac{-4+1}{4}
Since -\frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\left(2x-8\right)\left(-\frac{3}{4}\right)
Add -4 and 1 to get -3.
2x\left(-\frac{3}{4}\right)-8\left(-\frac{3}{4}\right)
Use the distributive property to multiply 2x-8 by -\frac{3}{4}.
\frac{2\left(-3\right)}{4}x-8\left(-\frac{3}{4}\right)
Express 2\left(-\frac{3}{4}\right) as a single fraction.
\frac{-6}{4}x-8\left(-\frac{3}{4}\right)
Multiply 2 and -3 to get -6.
-\frac{3}{2}x-8\left(-\frac{3}{4}\right)
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
-\frac{3}{2}x+\frac{-8\left(-3\right)}{4}
Express -8\left(-\frac{3}{4}\right) as a single fraction.
-\frac{3}{2}x+\frac{24}{4}
Multiply -8 and -3 to get 24.
-\frac{3}{2}x+6
Divide 24 by 4 to get 6.
\left(2x-8\right)\left(-1+\frac{1}{4}\right)
Divide 3 by 3 to get 1.
\left(2x-8\right)\left(-\frac{4}{4}+\frac{1}{4}\right)
Convert -1 to fraction -\frac{4}{4}.
\left(2x-8\right)\times \frac{-4+1}{4}
Since -\frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
\left(2x-8\right)\left(-\frac{3}{4}\right)
Add -4 and 1 to get -3.
2x\left(-\frac{3}{4}\right)-8\left(-\frac{3}{4}\right)
Use the distributive property to multiply 2x-8 by -\frac{3}{4}.
\frac{2\left(-3\right)}{4}x-8\left(-\frac{3}{4}\right)
Express 2\left(-\frac{3}{4}\right) as a single fraction.
\frac{-6}{4}x-8\left(-\frac{3}{4}\right)
Multiply 2 and -3 to get -6.
-\frac{3}{2}x-8\left(-\frac{3}{4}\right)
Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.
-\frac{3}{2}x+\frac{-8\left(-3\right)}{4}
Express -8\left(-\frac{3}{4}\right) as a single fraction.
-\frac{3}{2}x+\frac{24}{4}
Multiply -8 and -3 to get 24.
-\frac{3}{2}x+6
Divide 24 by 4 to get 6.
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}