-5.7w+5.2=5.1w-5.6

Solution for -5.7w+5.2=5.1w-5.6 equation:

Simplifying
-5.7w + 5.2 = 5.1w + -5.6

Reorder the terms:
5.2 + -5.7w = 5.1w + -5.6

Reorder the terms:
5.2 + -5.7w = -5.6 + 5.1w

Solving
5.2 + -5.7w = -5.6 + 5.1w

Solving for variable 'w'.

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

Add '-5.1w' to each side of the equation.
5.2 + -5.7w + -5.1w = -5.6 + 5.1w + -5.1w

Combine like terms: -5.7w + -5.1w = -10.8w
5.2 + -10.8w = -5.6 + 5.1w + -5.1w

Combine like terms: 5.1w + -5.1w = 0.0
5.2 + -10.8w = -5.6 + 0.0
5.2 + -10.8w = -5.6

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -10.8w = -5.6 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -10.8w = -5.6 + -5.2
-10.8w = -5.6 + -5.2

Combine like terms: -5.6 + -5.2 = -10.8
-10.8w = -10.8

Divide each side by '-10.8'.
w = 1

Simplifying
w = 1