Solve for x
x=5
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2\left(3x-1\right)-\left(x+9\right)=2\left(2x-3\right)
Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 2\left(2x-3\right), the least common multiple of 2x-3,4x-6.
6x-2-\left(x+9\right)=2\left(2x-3\right)
Use the distributive property to multiply 2 by 3x-1.
6x-2-x-9=2\left(2x-3\right)
To find the opposite of x+9, find the opposite of each term.
5x-2-9=2\left(2x-3\right)
Combine 6x and -x to get 5x.
5x-11=2\left(2x-3\right)
Subtract 9 from -2 to get -11.
5x-11=4x-6
Use the distributive property to multiply 2 by 2x-3.
5x-11-4x=-6
Subtract 4x from both sides.
x-11=-6
Combine 5x and -4x to get x.
x=-6+11
Add 11 to both sides.
x=5
Add -6 and 11 to get 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}