4.6=3.5w-6.6

Solution for 4.6=3.5w-6.6 equation:

Simplifying
4.6 = 3.5w + -6.6

Reorder the terms:
4.6 = -6.6 + 3.5w

Solving
4.6 = -6.6 + 3.5w

Solving for variable 'w'.

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

Add '-3.5w' to each side of the equation.
4.6 + -3.5w = -6.6 + 3.5w + -3.5w

Combine like terms: 3.5w + -3.5w = 0.0
4.6 + -3.5w = -6.6 + 0.0
4.6 + -3.5w = -6.6

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -3.5w = -6.6 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -3.5w = -6.6 + -4.6
-3.5w = -6.6 + -4.6

Combine like terms: -6.6 + -4.6 = -11.2
-3.5w = -11.2

Divide each side by '-3.5'.
w = 3.2

Simplifying
w = 3.2