Evaluate
\frac{21x}{20}-\frac{5}{4}
Expand
\frac{21x}{20}-\frac{5}{4}
Graph
Quiz
Polynomial
5 problems similar to:
\frac { 3 x - 1 } { 2 } - \frac { x } { 5 } - \frac { x + 3 } { 4 }
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\frac{5\left(3x-1\right)}{10}-\frac{2x}{10}-\frac{x+3}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{3x-1}{2} times \frac{5}{5}. Multiply \frac{x}{5} times \frac{2}{2}.
\frac{5\left(3x-1\right)-2x}{10}-\frac{x+3}{4}
Since \frac{5\left(3x-1\right)}{10} and \frac{2x}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{15x-5-2x}{10}-\frac{x+3}{4}
Do the multiplications in 5\left(3x-1\right)-2x.
\frac{13x-5}{10}-\frac{x+3}{4}
Combine like terms in 15x-5-2x.
\frac{2\left(13x-5\right)}{20}-\frac{5\left(x+3\right)}{20}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 4 is 20. Multiply \frac{13x-5}{10} times \frac{2}{2}. Multiply \frac{x+3}{4} times \frac{5}{5}.
\frac{2\left(13x-5\right)-5\left(x+3\right)}{20}
Since \frac{2\left(13x-5\right)}{20} and \frac{5\left(x+3\right)}{20} have the same denominator, subtract them by subtracting their numerators.
\frac{26x-10-5x-15}{20}
Do the multiplications in 2\left(13x-5\right)-5\left(x+3\right).
\frac{21x-25}{20}
Combine like terms in 26x-10-5x-15.
\frac{5\left(3x-1\right)}{10}-\frac{2x}{10}-\frac{x+3}{4}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and 5 is 10. Multiply \frac{3x-1}{2} times \frac{5}{5}. Multiply \frac{x}{5} times \frac{2}{2}.
\frac{5\left(3x-1\right)-2x}{10}-\frac{x+3}{4}
Since \frac{5\left(3x-1\right)}{10} and \frac{2x}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{15x-5-2x}{10}-\frac{x+3}{4}
Do the multiplications in 5\left(3x-1\right)-2x.
\frac{13x-5}{10}-\frac{x+3}{4}
Combine like terms in 15x-5-2x.
\frac{2\left(13x-5\right)}{20}-\frac{5\left(x+3\right)}{20}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 10 and 4 is 20. Multiply \frac{13x-5}{10} times \frac{2}{2}. Multiply \frac{x+3}{4} times \frac{5}{5}.
\frac{2\left(13x-5\right)-5\left(x+3\right)}{20}
Since \frac{2\left(13x-5\right)}{20} and \frac{5\left(x+3\right)}{20} have the same denominator, subtract them by subtracting their numerators.
\frac{26x-10-5x-15}{20}
Do the multiplications in 2\left(13x-5\right)-5\left(x+3\right).
\frac{21x-25}{20}
Combine like terms in 26x-10-5x-15.
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}