2.1=14.6-5w

Solution for 2.1=14.6-5w equation:

Simplifying
2.1 = 14.6 + -5w

Solving
2.1 = 14.6 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
2.1 + 5w = 14.6 + -5w + 5w

Combine like terms: -5w + 5w = 0
2.1 + 5w = 14.6 + 0
2.1 + 5w = 14.6

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 5w = 14.6 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 5w = 14.6 + -2.1
5w = 14.6 + -2.1

Combine like terms: 14.6 + -2.1 = 12.5
5w = 12.5

Divide each side by '5'.
w = 2.5

Simplifying
w = 2.5