.5c+56.8=3c-15.2

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Solution for .5c+56.8=3c-15.2 equation: 


Simplifying
0.5c + 56.8 = 3c + -15.2

Reorder the terms:
56.8 + 0.5c = 3c + -15.2

Reorder the terms:
56.8 + 0.5c = -15.2 + 3c

Solving
56.8 + 0.5c = -15.2 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
56.8 + 0.5c + -3c = -15.2 + 3c + -3c

Combine like terms: 0.5c + -3c = -2.5c
56.8 + -2.5c = -15.2 + 3c + -3c

Combine like terms: 3c + -3c = 0
56.8 + -2.5c = -15.2 + 0
56.8 + -2.5c = -15.2

Add '-56.8' to each side of the equation.
56.8 + -56.8 + -2.5c = -15.2 + -56.8

Combine like terms: 56.8 + -56.8 = 0.0
0.0 + -2.5c = -15.2 + -56.8
-2.5c = -15.2 + -56.8

Combine like terms: -15.2 + -56.8 = -72
-2.5c = -72

Divide each side by '-2.5'.
c = 28.8

Simplifying
c = 28.8

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