Solve for x
x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667
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x+2+\left(x-2\right)\times 2=3
Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x-2,x+2,x^{2}-4.
x+2+2x-4=3
Use the distributive property to multiply x-2 by 2.
3x+2-4=3
Combine x and 2x to get 3x.
3x-2=3
Subtract 4 from 2 to get -2.
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.
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