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x-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 2\left(x+2\right).
x-2=2x+4
Use the distributive property to multiply 2 by x+2.
x-2-2x=4
Subtract 2x from both sides.
-x-2=4
Combine x and -2x to get -x.
-x=4+2
Add 2 to both sides.
-x=6
Add 4 and 2 to get 6.
x=-6
Multiply both sides by -1.