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5x+8-x=0
Subtract x from both sides.
4x+8=0
Combine 5x and -x to get 4x.
4x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8}{4}
Divide both sides by 4.
x=-2
Divide -8 by 4 to get -2.