5.5w-3.2=2.5w+5.8

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Solution for 5.5w-3.2=2.5w+5.8 equation: 


Simplifying
5.5w + -3.2 = 2.5w + 5.8

Reorder the terms:
-3.2 + 5.5w = 2.5w + 5.8

Reorder the terms:
-3.2 + 5.5w = 5.8 + 2.5w

Solving
-3.2 + 5.5w = 5.8 + 2.5w

Solving for variable 'w'.

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

Add '-2.5w' to each side of the equation.
-3.2 + 5.5w + -2.5w = 5.8 + 2.5w + -2.5w

Combine like terms: 5.5w + -2.5w = 3w
-3.2 + 3w = 5.8 + 2.5w + -2.5w

Combine like terms: 2.5w + -2.5w = 0.0
-3.2 + 3w = 5.8 + 0.0
-3.2 + 3w = 5.8

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 3w = 5.8 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 3w = 5.8 + 3.2
3w = 5.8 + 3.2

Combine like terms: 5.8 + 3.2 = 9
3w = 9

Divide each side by '3'.
w = 3

Simplifying
w = 3

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