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4=-2\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.
4=-2x+4
Use the distributive property to multiply -2 by x-2.
-2x+4=4
Swap sides so that all variable terms are on the left hand side.
-2x=4-4
Subtract 4 from both sides.
-2x=0
Subtract 4 from 4 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.