.2w-5=-4w+8

Solution for .2w-5=-4w+8 equation:

Simplifying
0.2w + -5 = -4w + 8

Reorder the terms:
-5 + 0.2w = -4w + 8

Reorder the terms:
-5 + 0.2w = 8 + -4w

Solving
-5 + 0.2w = 8 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-5 + 0.2w + 4w = 8 + -4w + 4w

Combine like terms: 0.2w + 4w = 4.2w
-5 + 4.2w = 8 + -4w + 4w

Combine like terms: -4w + 4w = 0
-5 + 4.2w = 8 + 0
-5 + 4.2w = 8

Add '5' to each side of the equation.
-5 + 5 + 4.2w = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 4.2w = 8 + 5
4.2w = 8 + 5

Combine like terms: 8 + 5 = 13
4.2w = 13

Divide each side by '4.2'.
w = 3.095238095

Simplifying
w = 3.095238095