Evaluate
\frac{24x+4}{5}
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\frac{24x+4}{5}
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2\times \frac{4}{5}\left(\frac{4}{8}+3x\right)
Divide 12 by 6 to get 2.
\frac{2\times 4}{5}\left(\frac{4}{8}+3x\right)
Express 2\times \frac{4}{5} as a single fraction.
\frac{8}{5}\left(\frac{4}{8}+3x\right)
Multiply 2 and 4 to get 8.
\frac{8}{5}\left(\frac{1}{2}+3x\right)
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{8}{5}\times \frac{1}{2}+\frac{8}{5}\times 3x
Use the distributive property to multiply \frac{8}{5} by \frac{1}{2}+3x.
\frac{8\times 1}{5\times 2}+\frac{8}{5}\times 3x
Multiply \frac{8}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{10}+\frac{8}{5}\times 3x
Do the multiplications in the fraction \frac{8\times 1}{5\times 2}.
\frac{4}{5}+\frac{8}{5}\times 3x
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{4}{5}+\frac{8\times 3}{5}x
Express \frac{8}{5}\times 3 as a single fraction.
\frac{4}{5}+\frac{24}{5}x
Multiply 8 and 3 to get 24.
2\times \frac{4}{5}\left(\frac{4}{8}+3x\right)
Divide 12 by 6 to get 2.
\frac{2\times 4}{5}\left(\frac{4}{8}+3x\right)
Express 2\times \frac{4}{5} as a single fraction.
\frac{8}{5}\left(\frac{4}{8}+3x\right)
Multiply 2 and 4 to get 8.
\frac{8}{5}\left(\frac{1}{2}+3x\right)
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{8}{5}\times \frac{1}{2}+\frac{8}{5}\times 3x
Use the distributive property to multiply \frac{8}{5} by \frac{1}{2}+3x.
\frac{8\times 1}{5\times 2}+\frac{8}{5}\times 3x
Multiply \frac{8}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{8}{10}+\frac{8}{5}\times 3x
Do the multiplications in the fraction \frac{8\times 1}{5\times 2}.
\frac{4}{5}+\frac{8}{5}\times 3x
Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.
\frac{4}{5}+\frac{8\times 3}{5}x
Express \frac{8}{5}\times 3 as a single fraction.
\frac{4}{5}+\frac{24}{5}x
Multiply 8 and 3 to get 24.
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}