Solve for x
x = \frac{11}{2} = 5\frac{1}{2} = 5.5
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3\times 3=2\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 3\left(x-1\right), the least common multiple of x-1,3.
9=2\left(x-1\right)
Multiply 3 and 3 to get 9.
9=2x-2
Use the distributive property to multiply 2 by x-1.
2x-2=9
Swap sides so that all variable terms are on the left hand side.
2x=9+2
Add 2 to both sides.
2x=11
Add 9 and 2 to get 11.
x=\frac{11}{2}
Divide both sides by 2.
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
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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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