Solve for x
x = \frac{3}{2} = 1\frac{1}{2} = 1.5
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2x+x=9\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1, the least common multiple of x-1,1-x.
3x=9\left(x-1\right)
Combine 2x and x to get 3x.
3x=9x-9
Use the distributive property to multiply 9 by x-1.
3x-9x=-9
Subtract 9x from both sides.
-6x=-9
Combine 3x and -9x to get -6x.
x=\frac{-9}{-6}
Divide both sides by -6.
x=\frac{3}{2}
Reduce the fraction \frac{-9}{-6} to lowest terms by extracting and canceling out -3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}