w+1.2w+.6=1.67(w-.2)

Solution for w+1.2w+.6=1.67(w-.2) equation:

Simplifying
w + 1.2w + 0.6 = 1.67(w + -0.2)

Reorder the terms:
0.6 + w + 1.2w = 1.67(w + -0.2)

Combine like terms: w + 1.2w = 2.2w
0.6 + 2.2w = 1.67(w + -0.2)

Reorder the terms:
0.6 + 2.2w = 1.67(-0.2 + w)
0.6 + 2.2w = (-0.2 * 1.67 + w * 1.67)
0.6 + 2.2w = (-0.334 + 1.67w)

Solving
0.6 + 2.2w = -0.334 + 1.67w

Solving for variable 'w'.

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

Add '-1.67w' to each side of the equation.
0.6 + 2.2w + -1.67w = -0.334 + 1.67w + -1.67w

Combine like terms: 2.2w + -1.67w = 0.53w
0.6 + 0.53w = -0.334 + 1.67w + -1.67w

Combine like terms: 1.67w + -1.67w = 0.00
0.6 + 0.53w = -0.334 + 0.00
0.6 + 0.53w = -0.334

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.53w = -0.334 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.53w = -0.334 + -0.6
0.53w = -0.334 + -0.6

Combine like terms: -0.334 + -0.6 = -0.934
0.53w = -0.934

Divide each side by '0.53'.
w = -1.762264151

Simplifying
w = -1.762264151