Solve for x
x=4
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2\left(2x+1\right)=9\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 6\left(x-2\right), the least common multiple of 3x-6,2.
4x+2=9\left(x-2\right)
Use the distributive property to multiply 2 by 2x+1.
4x+2=9x-18
Use the distributive property to multiply 9 by x-2.
4x+2-9x=-18
Subtract 9x from both sides.
-5x+2=-18
Combine 4x and -9x to get -5x.
-5x=-18-2
Subtract 2 from both sides.
-5x=-20
Subtract 2 from -18 to get -20.
x=\frac{-20}{-5}
Divide both sides by -5.
x=4
Divide -20 by -5 to get 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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
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