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-6x+5=-x_{2}
Subtract x_{2} from both sides. Anything subtracted from zero gives its negation.
-6x=-x_{2}-5
Subtract 5 from both sides.
\frac{-6x}{-6}=\frac{-x_{2}-5}{-6}
Divide both sides by -6.
x=\frac{-x_{2}-5}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{x_{2}+5}{6}
Divide -x_{2}-5 by -6.
x_{2}+5=6x
Add 6x to both sides. Anything plus zero gives itself.
x_{2}=6x-5
Subtract 5 from both sides.