w-1.3w+0.6=0.125(w+0.3)

Solution for w-1.3w+0.6=0.125(w+0.3) equation:

Simplifying
w + -1.3w + 0.6 = 0.125(w + 0.3)

Reorder the terms:
0.6 + w + -1.3w = 0.125(w + 0.3)

Combine like terms: w + -1.3w = -0.3w
0.6 + -0.3w = 0.125(w + 0.3)

Reorder the terms:
0.6 + -0.3w = 0.125(0.3 + w)
0.6 + -0.3w = (0.3 * 0.125 + w * 0.125)
0.6 + -0.3w = (0.0375 + 0.125w)

Solving
0.6 + -0.3w = 0.0375 + 0.125w

Solving for variable 'w'.

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

Add '-0.125w' to each side of the equation.
0.6 + -0.3w + -0.125w = 0.0375 + 0.125w + -0.125w

Combine like terms: -0.3w + -0.125w = -0.425w
0.6 + -0.425w = 0.0375 + 0.125w + -0.125w

Combine like terms: 0.125w + -0.125w = 0.000
0.6 + -0.425w = 0.0375 + 0.000
0.6 + -0.425w = 0.0375

Add '-0.6' to each side of the equation.
0.6 + -0.6 + -0.425w = 0.0375 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.425w = 0.0375 + -0.6
-0.425w = 0.0375 + -0.6

Combine like terms: 0.0375 + -0.6 = -0.5625
-0.425w = -0.5625

Divide each side by '-0.425'.
w = 1.323529412

Simplifying
w = 1.323529412