0.9w-0.5w+0.1=5

Solution for 0.9w-0.5w+0.1=5 equation:

Simplifying
0.9w + -0.5w + 0.1 = 5

Reorder the terms:
0.1 + 0.9w + -0.5w = 5

Combine like terms: 0.9w + -0.5w = 0.4w
0.1 + 0.4w = 5

Solving
0.1 + 0.4w = 5

Solving for variable 'w'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 0.4w = 5 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.4w = 5 + -0.1
0.4w = 5 + -0.1

Combine like terms: 5 + -0.1 = 4.9
0.4w = 4.9

Divide each side by '0.4'.
w = 12.25

Simplifying
w = 12.25