-0.3w+3.6=4.6w-6.2

Solution for -0.3w+3.6=4.6w-6.2 equation:

Simplifying
-0.3w + 3.6 = 4.6w + -6.2

Reorder the terms:
3.6 + -0.3w = 4.6w + -6.2

Reorder the terms:
3.6 + -0.3w = -6.2 + 4.6w

Solving
3.6 + -0.3w = -6.2 + 4.6w

Solving for variable 'w'.

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

Add '-4.6w' to each side of the equation.
3.6 + -0.3w + -4.6w = -6.2 + 4.6w + -4.6w

Combine like terms: -0.3w + -4.6w = -4.9w
3.6 + -4.9w = -6.2 + 4.6w + -4.6w

Combine like terms: 4.6w + -4.6w = 0.0
3.6 + -4.9w = -6.2 + 0.0
3.6 + -4.9w = -6.2

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -4.9w = -6.2 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -4.9w = -6.2 + -3.6
-4.9w = -6.2 + -3.6

Combine like terms: -6.2 + -3.6 = -9.8
-4.9w = -9.8

Divide each side by '-4.9'.
w = 2

Simplifying
w = 2