Solve for x
x=-\frac{9}{13}\approx -0.692307692
Graph
Share
Copied to clipboard
2\left(x-2\right)=5\left(3x+1\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2.
2x-4=5\left(3x+1\right)
Use the distributive property to multiply 2 by x-2.
2x-4=15x+5
Use the distributive property to multiply 5 by 3x+1.
2x-4-15x=5
Subtract 15x from both sides.
-13x-4=5
Combine 2x and -15x to get -13x.
-13x=5+4
Add 4 to both sides.
-13x=9
Add 5 and 4 to get 9.
x=\frac{9}{-13}
Divide both sides by -13.
x=-\frac{9}{13}
Fraction \frac{9}{-13} can be rewritten as -\frac{9}{13} by extracting the negative sign.
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}