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-4x+7=-x_{2}
Subtract x_{2} from both sides. Anything subtracted from zero gives its negation.
-4x=-x_{2}-7
Subtract 7 from both sides.
\frac{-4x}{-4}=\frac{-x_{2}-7}{-4}
Divide both sides by -4.
x=\frac{-x_{2}-7}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{x_{2}+7}{4}
Divide -x_{2}-7 by -4.
x_{2}+7=4x
Add 4x to both sides. Anything plus zero gives itself.
x_{2}=4x-7
Subtract 7 from both sides.