Solve for x
x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667
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3=-\left(-x\times 2\right)+x-2
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2\right), the least common multiple of x^{2}-2x,2-x,x.
3=-\left(-2x\right)+x-2
Multiply -1 and 2 to get -2.
3=2x+x-2
The opposite of -2x is 2x.
3=3x-2
Combine 2x and x to get 3x.
3x-2=3
Swap sides so that all variable terms are on the left hand side.
3x=3+2
Add 2 to both sides.
3x=5
Add 3 and 2 to get 5.
x=\frac{5}{3}
Divide both sides by 3.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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