Solve for x
x = \frac{13}{2} = 6\frac{1}{2} = 6.5
Graph
Share
Copied to clipboard
2\left(3x-2\right)=4x+9
Multiply both sides of the equation by 14, the least common multiple of 7,14.
6x-4=4x+9
Use the distributive property to multiply 2 by 3x-2.
6x-4-4x=9
Subtract 4x from both sides.
2x-4=9
Combine 6x and -4x to get 2x.
2x=9+4
Add 4 to both sides.
2x=13
Add 9 and 4 to get 13.
x=\frac{13}{2}
Divide both sides by 2.
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}