Solve for r
r = \frac{14}{5} = 2\frac{4}{5} = 2.8
Share
Copied to clipboard
5\left(5r-10\right)=20
Multiply both sides of the equation by 25, the least common multiple of 5,25.
25r-50=20
Use the distributive property to multiply 5 by 5r-10.
25r=20+50
Add 50 to both sides.
25r=70
Add 20 and 50 to get 70.
r=\frac{70}{25}
Divide both sides by 25.
r=\frac{14}{5}
Reduce the fraction \frac{70}{25} to lowest terms by extracting and canceling out 5.
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}