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4+\left(x-3\right)\left(-2\right)=-8
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3, the least common multiple of x-3,3-x.
4-2x+6=-8
Use the distributive property to multiply x-3 by -2.
10-2x=-8
Add 4 and 6 to get 10.
-2x=-8-10
Subtract 10 from both sides.
-2x=-18
Subtract 10 from -8 to get -18.
x=\frac{-18}{-2}
Divide both sides by -2.
x=9
Divide -18 by -2 to get 9.