Evaluate
-\frac{14x}{15}+\frac{56}{5}
Expand
-\frac{14x}{15}+\frac{56}{5}
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-\frac{14}{15}\left(x-12\right)
Fraction \frac{14}{-15} can be rewritten as -\frac{14}{15} by extracting the negative sign.
-\frac{14}{15}x-\frac{14}{15}\left(-12\right)
Use the distributive property to multiply -\frac{14}{15} by x-12.
-\frac{14}{15}x+\frac{-14\left(-12\right)}{15}
Express -\frac{14}{15}\left(-12\right) as a single fraction.
-\frac{14}{15}x+\frac{168}{15}
Multiply -14 and -12 to get 168.
-\frac{14}{15}x+\frac{56}{5}
Reduce the fraction \frac{168}{15} to lowest terms by extracting and canceling out 3.
-\frac{14}{15}\left(x-12\right)
Fraction \frac{14}{-15} can be rewritten as -\frac{14}{15} by extracting the negative sign.
-\frac{14}{15}x-\frac{14}{15}\left(-12\right)
Use the distributive property to multiply -\frac{14}{15} by x-12.
-\frac{14}{15}x+\frac{-14\left(-12\right)}{15}
Express -\frac{14}{15}\left(-12\right) as a single fraction.
-\frac{14}{15}x+\frac{168}{15}
Multiply -14 and -12 to get 168.
-\frac{14}{15}x+\frac{56}{5}
Reduce the fraction \frac{168}{15} to lowest terms by extracting and canceling out 3.
Examples
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{ 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}