Evaluate
\frac{61x}{8}-3
Factor
\frac{61x-24}{8}
Graph
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7x+2-5+\frac{5x}{8}
Combine 3x and 4x to get 7x.
7x-3+\frac{5x}{8}
Subtract 5 from 2 to get -3.
\frac{8\left(7x-3\right)}{8}+\frac{5x}{8}
To add or subtract expressions, expand them to make their denominators the same. Multiply 7x-3 times \frac{8}{8}.
\frac{8\left(7x-3\right)+5x}{8}
Since \frac{8\left(7x-3\right)}{8} and \frac{5x}{8} have the same denominator, add them by adding their numerators.
\frac{56x-24+5x}{8}
Do the multiplications in 8\left(7x-3\right)+5x.
\frac{61x-24}{8}
Combine like terms in 56x-24+5x.
\frac{61x-24}{8}
Factor out \frac{1}{8}.
61x-24
Consider 24x+16+32x-40+5x. Multiply and combine like terms.
\frac{61x-24}{8}
Rewrite the complete factored expression.
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}