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5w=x-2+x
Add x to both sides.
5w=2x-2
Combine x and x to get 2x.
\frac{5w}{5}=\frac{2x-2}{5}
Divide both sides by 5.
w=\frac{2x-2}{5}
Dividing by 5 undoes the multiplication by 5.
-x+5w-x=-2
Subtract x from both sides.
-x-x=-2-5w
Subtract 5w from both sides.
-2x=-2-5w
Combine -x and -x to get -2x.
-2x=-5w-2
The equation is in standard form.
\frac{-2x}{-2}=\frac{-5w-2}{-2}
Divide both sides by -2.
x=\frac{-5w-2}{-2}
Dividing by -2 undoes the multiplication by -2.
x=\frac{5w}{2}+1
Divide -2-5w by -2.