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4x+6-2x=0
Subtract 2x from both sides.
2x+6=0
Combine 4x and -2x to get 2x.
2x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{2}
Divide both sides by 2.
x=-3
Divide -6 by 2 to get -3.