Question

Solve for w.

5w + 9z = 2z + 3w

Answer 1

Move all terms containing w to the left, all other terms to the right.

Add '-3w' to each side of the equation.
5w + -3w + 9z = 3w + -3w + 2z

Combine like terms: 5w + -3w = 2w
2w + 9z = 3w + -3w + 2z

Combine like terms: 3w + -3w = 0
2w + 9z = 0 + 2z
2w + 9z = 2z

Add '-9z' to each side of the equation.
2w + 9z + -9z = 2z + -9z

Combine like terms: 9z + -9z = 0
2w + 0 = 2z + -9z
2w = 2z + -9z

Combine like terms: 2z + -9z = -7z
2w = -7z

Divide each side by '2'.
w = -3.5z

Simplifying
w = -3.5z

Answer 2

add like terms