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Solve for x_2
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x_{2}-x+12=y
Swap sides so that all variable terms are on the left hand side.
-x+12=y-x_{2}
Subtract x_{2} from both sides.
-x=y-x_{2}-12
Subtract 12 from both sides.
-x=-x_{2}+y-12
The equation is in standard form.
\frac{-x}{-1}=\frac{-x_{2}+y-12}{-1}
Divide both sides by -1.
x=\frac{-x_{2}+y-12}{-1}
Dividing by -1 undoes the multiplication by -1.
x=x_{2}-y+12
Divide y-x_{2}-12 by -1.
x_{2}-x+12=y
Swap sides so that all variable terms are on the left hand side.
x_{2}+12=y+x
Add x to both sides.
x_{2}=y+x-12
Subtract 12 from both sides.