0.5(4-2w)=0.2(w+18)+8

Solution for 0.5(4-2w)=0.2(w+18)+8 equation:

Simplifying
0.5(4 + -2w) = 0.2(w + 18) + 8
(4 * 0.5 + -2w * 0.5) = 0.2(w + 18) + 8
(2 + -1w) = 0.2(w + 18) + 8

Reorder the terms:
2 + -1w = 0.2(18 + w) + 8
2 + -1w = (18 * 0.2 + w * 0.2) + 8
2 + -1w = (3.6 + 0.2w) + 8

Reorder the terms:
2 + -1w = 3.6 + 8 + 0.2w

Combine like terms: 3.6 + 8 = 11.6
2 + -1w = 11.6 + 0.2w

Solving
2 + -1w = 11.6 + 0.2w

Solving for variable 'w'.

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

Add '-0.2w' to each side of the equation.
2 + -1w + -0.2w = 11.6 + 0.2w + -0.2w

Combine like terms: -1w + -0.2w = -1.2w
2 + -1.2w = 11.6 + 0.2w + -0.2w

Combine like terms: 0.2w + -0.2w = 0.0
2 + -1.2w = 11.6 + 0.0
2 + -1.2w = 11.6

Add '-2' to each side of the equation.
2 + -2 + -1.2w = 11.6 + -2

Combine like terms: 2 + -2 = 0
0 + -1.2w = 11.6 + -2
-1.2w = 11.6 + -2

Combine like terms: 11.6 + -2 = 9.6
-1.2w = 9.6

Divide each side by '-1.2'.
w = -8

Simplifying
w = -8