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Solve for x (complex solution)
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x-3=\left(\sqrt{2x+2}\right)^{2}-4
Calculate \sqrt{x-3} to the power of 2 and get x-3.
x-3=2x+2-4
Calculate \sqrt{2x+2} to the power of 2 and get 2x+2.
x-3=2x-2
Subtract 4 from 2 to get -2.
x-3-2x=-2
Subtract 2x from both sides.
-x-3=-2
Combine x and -2x to get -x.
-x=-2+3
Add 3 to both sides.
-x=1
Add -2 and 3 to get 1.
x=-1
Multiply both sides by -1.