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-3w=5x+8
Add 8 to both sides.
\frac{-3w}{-3}=\frac{5x+8}{-3}
Divide both sides by -3.
w=\frac{5x+8}{-3}
Dividing by -3 undoes the multiplication by -3.
w=\frac{-5x-8}{3}
Divide 5x+8 by -3.
5x=-8-3w
Swap sides so that all variable terms are on the left hand side.
5x=-3w-8
The equation is in standard form.
\frac{5x}{5}=\frac{-3w-8}{5}
Divide both sides by 5.
x=\frac{-3w-8}{5}
Dividing by 5 undoes the multiplication by 5.