Solve for x
x=\frac{4}{5}=0.8
Graph
Share
Copied to clipboard
10\left(5x-1\right)=3\left(10x+2\right)
Multiply both sides of the equation by 30, the least common multiple of 3,10.
50x-10=3\left(10x+2\right)
Use the distributive property to multiply 10 by 5x-1.
50x-10=30x+6
Use the distributive property to multiply 3 by 10x+2.
50x-10-30x=6
Subtract 30x from both sides.
20x-10=6
Combine 50x and -30x to get 20x.
20x=6+10
Add 10 to both sides.
20x=16
Add 6 and 10 to get 16.
x=\frac{16}{20}
Divide both sides by 20.
x=\frac{4}{5}
Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.
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}