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3+\left(x-2\right)\left(-2\right)=-1
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
3-2x+4=-1
Use the distributive property to multiply x-2 by -2.
7-2x=-1
Add 3 and 4 to get 7.
-2x=-1-7
Subtract 7 from both sides.
-2x=-8
Subtract 7 from -1 to get -8.
x=\frac{-8}{-2}
Divide both sides by -2.
x=4
Divide -8 by -2 to get 4.