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2=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.
2=2x-4
Use the distributive property to multiply 2 by x-2.
2x-4=2
Swap sides so that all variable terms are on the left hand side.
2x=2+4
Add 4 to both sides.
2x=6
Add 2 and 4 to get 6.
x=\frac{6}{2}
Divide both sides by 2.
x=3
Divide 6 by 2 to get 3.