0.5(c+12.8)-c=0.6c+0.3

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Solution for 0.5(c+12.8)-c=0.6c+0.3 equation: 


Simplifying
0.5(c + 12.8) + -1c = 0.6c + 0.3

Reorder the terms:
0.5(12.8 + c) + -1c = 0.6c + 0.3
(12.8 * 0.5 + c * 0.5) + -1c = 0.6c + 0.3
(6.4 + 0.5c) + -1c = 0.6c + 0.3

Combine like terms: 0.5c + -1c = -0.5c
6.4 + -0.5c = 0.6c + 0.3

Reorder the terms:
6.4 + -0.5c = 0.3 + 0.6c

Solving
6.4 + -0.5c = 0.3 + 0.6c

Solving for variable 'c'.

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

Add '-0.6c' to each side of the equation.
6.4 + -0.5c + -0.6c = 0.3 + 0.6c + -0.6c

Combine like terms: -0.5c + -0.6c = -1.1c
6.4 + -1.1c = 0.3 + 0.6c + -0.6c

Combine like terms: 0.6c + -0.6c = 0.0
6.4 + -1.1c = 0.3 + 0.0
6.4 + -1.1c = 0.3

Add '-6.4' to each side of the equation.
6.4 + -6.4 + -1.1c = 0.3 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + -1.1c = 0.3 + -6.4
-1.1c = 0.3 + -6.4

Combine like terms: 0.3 + -6.4 = -6.1
-1.1c = -6.1

Divide each side by '-1.1'.
c = 5.545454545

Simplifying
c = 5.545454545

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