Solve for x
x=\frac{17}{59}\approx 0.288135593
Graph
Share
Copied to clipboard
2\left(3x+2\right)=13\left(5x-1\right)
Variable x cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 2\left(5x-1\right), the least common multiple of 5x-1,2.
6x+4=13\left(5x-1\right)
Use the distributive property to multiply 2 by 3x+2.
6x+4=65x-13
Use the distributive property to multiply 13 by 5x-1.
6x+4-65x=-13
Subtract 65x from both sides.
-59x+4=-13
Combine 6x and -65x to get -59x.
-59x=-13-4
Subtract 4 from both sides.
-59x=-17
Subtract 4 from -13 to get -17.
x=\frac{-17}{-59}
Divide both sides by -59.
x=\frac{17}{59}
Fraction \frac{-17}{-59} can be simplified to \frac{17}{59} by removing the negative sign from both the numerator and the denominator.
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}