.5(c+2.8)-c=1.6(2x+5)

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Solution for .5(c+2.8)-c=1.6(2x+5) equation: 


Simplifying
0.5(c + 2.8) + -1c = 1.6(2x + 5)

Reorder the terms:
0.5(2.8 + c) + -1c = 1.6(2x + 5)
(2.8 * 0.5 + c * 0.5) + -1c = 1.6(2x + 5)
(1.4 + 0.5c) + -1c = 1.6(2x + 5)

Combine like terms: 0.5c + -1c = -0.5c
1.4 + -0.5c = 1.6(2x + 5)

Reorder the terms:
1.4 + -0.5c = 1.6(5 + 2x)
1.4 + -0.5c = (5 * 1.6 + 2x * 1.6)
1.4 + -0.5c = (8 + 3.2x)

Solving
1.4 + -0.5c = 8 + 3.2x

Solving for variable 'c'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -0.5c = 8 + -1.4 + 3.2x

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.5c = 8 + -1.4 + 3.2x
-0.5c = 8 + -1.4 + 3.2x

Combine like terms: 8 + -1.4 = 6.6
-0.5c = 6.6 + 3.2x

Divide each side by '-0.5'.
c = -13.2 + -6.4x

Simplifying
c = -13.2 + -6.4x

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