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5x+2-x=0
Subtract x from both sides.
4x+2=0
Combine 5x and -x to get 4x.
4x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{4}
Divide both sides by 4.
x=-\frac{1}{2}
Reduce the fraction \frac{-2}{4} to lowest terms by extracting and canceling out 2.