Question

Solve for w.

5w + 9z = 2z + 3w

Answer 1

So this is our equation: 5w + 9z = 2z + 3w
Subtract 9z from each side.
\[5w+9z-9z=2z+3w-9z\]
Simplify:
\[5w=-7z+3w\]
Subtract 3w from each side.
\[5w-3w=-7z+3w-3w\]
Simplify:
\[2w=-7z\]
Divide both sides by two.
\[\frac{2w}{2}=\frac{-7z}{2}\]
Simplify.
\[w=-\frac{7z}{2}\]