Evaluate
\frac{19x}{20}-\frac{z}{4}-\frac{4y}{5}-30
Expand
\frac{19x}{20}-\frac{z}{4}-\frac{4y}{5}-30
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\frac{5\left(x-60\right)}{10}+\frac{2\left(x-4y\right)}{10}+\frac{x-z}{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{x-60}{2} times \frac{5}{5}. Multiply \frac{x-4y}{5} times \frac{2}{2}.
\frac{5\left(x-60\right)+2\left(x-4y\right)}{10}+\frac{x-z}{4}
Since \frac{5\left(x-60\right)}{10} and \frac{2\left(x-4y\right)}{10} have the same denominator, add them by adding their numerators.
\frac{5x-300+2x-8y}{10}+\frac{x-z}{4}
Do the multiplications in 5\left(x-60\right)+2\left(x-4y\right).
\frac{7x-300-8y}{10}+\frac{x-z}{4}
Combine like terms in 5x-300+2x-8y.
\frac{2\left(7x-300-8y\right)}{20}+\frac{5\left(x-z\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{7x-300-8y}{10} times \frac{2}{2}. Multiply \frac{x-z}{4} times \frac{5}{5}.
\frac{2\left(7x-300-8y\right)+5\left(x-z\right)}{20}
Since \frac{2\left(7x-300-8y\right)}{20} and \frac{5\left(x-z\right)}{20} have the same denominator, add them by adding their numerators.
\frac{14x-600-16y+5x-5z}{20}
Do the multiplications in 2\left(7x-300-8y\right)+5\left(x-z\right).
\frac{19x-600-16y-5z}{20}
Combine like terms in 14x-600-16y+5x-5z.
\frac{5\left(x-60\right)}{10}+\frac{2\left(x-4y\right)}{10}+\frac{x-z}{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{x-60}{2} times \frac{5}{5}. Multiply \frac{x-4y}{5} times \frac{2}{2}.
\frac{5\left(x-60\right)+2\left(x-4y\right)}{10}+\frac{x-z}{4}
Since \frac{5\left(x-60\right)}{10} and \frac{2\left(x-4y\right)}{10} have the same denominator, add them by adding their numerators.
\frac{5x-300+2x-8y}{10}+\frac{x-z}{4}
Do the multiplications in 5\left(x-60\right)+2\left(x-4y\right).
\frac{7x-300-8y}{10}+\frac{x-z}{4}
Combine like terms in 5x-300+2x-8y.
\frac{2\left(7x-300-8y\right)}{20}+\frac{5\left(x-z\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{7x-300-8y}{10} times \frac{2}{2}. Multiply \frac{x-z}{4} times \frac{5}{5}.
\frac{2\left(7x-300-8y\right)+5\left(x-z\right)}{20}
Since \frac{2\left(7x-300-8y\right)}{20} and \frac{5\left(x-z\right)}{20} have the same denominator, add them by adding their numerators.
\frac{14x-600-16y+5x-5z}{20}
Do the multiplications in 2\left(7x-300-8y\right)+5\left(x-z\right).
\frac{19x-600-16y-5z}{20}
Combine like terms in 14x-600-16y+5x-5z.
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}