5.8w+5.1=5.6w+3.1

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Solution for 5.8w+5.1=5.6w+3.1 equation: 


Simplifying
5.8w + 5.1 = 5.6w + 3.1

Reorder the terms:
5.1 + 5.8w = 5.6w + 3.1

Reorder the terms:
5.1 + 5.8w = 3.1 + 5.6w

Solving
5.1 + 5.8w = 3.1 + 5.6w

Solving for variable 'w'.

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

Add '-5.6w' to each side of the equation.
5.1 + 5.8w + -5.6w = 3.1 + 5.6w + -5.6w

Combine like terms: 5.8w + -5.6w = 0.2w
5.1 + 0.2w = 3.1 + 5.6w + -5.6w

Combine like terms: 5.6w + -5.6w = 0.0
5.1 + 0.2w = 3.1 + 0.0
5.1 + 0.2w = 3.1

Add '-5.1' to each side of the equation.
5.1 + -5.1 + 0.2w = 3.1 + -5.1

Combine like terms: 5.1 + -5.1 = 0.0
0.0 + 0.2w = 3.1 + -5.1
0.2w = 3.1 + -5.1

Combine like terms: 3.1 + -5.1 = -2
0.2w = -2

Divide each side by '0.2'.
w = -10

Simplifying
w = -10

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