0.5w+1.6=0.2(w-1)

Solution for 0.5w+1.6=0.2(w-1) equation:

Simplifying
0.5w + 1.6 = 0.2(w + -1)

Reorder the terms:
1.6 + 0.5w = 0.2(w + -1)

Reorder the terms:
1.6 + 0.5w = 0.2(-1 + w)
1.6 + 0.5w = (-1 * 0.2 + w * 0.2)
1.6 + 0.5w = (-0.2 + 0.2w)

Solving
1.6 + 0.5w = -0.2 + 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.
1.6 + 0.5w + -0.2w = -0.2 + 0.2w + -0.2w

Combine like terms: 0.5w + -0.2w = 0.3w
1.6 + 0.3w = -0.2 + 0.2w + -0.2w

Combine like terms: 0.2w + -0.2w = 0.0
1.6 + 0.3w = -0.2 + 0.0
1.6 + 0.3w = -0.2

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.3w = -0.2 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.3w = -0.2 + -1.6
0.3w = -0.2 + -1.6

Combine like terms: -0.2 + -1.6 = -1.8
0.3w = -1.8

Divide each side by '0.3'.
w = -6

Simplifying
w = -6