0.2(x+5c)-6=0.9(3x+20)

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Solution for 0.2(x+5c)-6=0.9(3x+20) equation:


Simplifying
0.2(x + 5c) + -6 = 0.9(3x + 20)

Reorder the terms:
0.2(5c + x) + -6 = 0.9(3x + 20)
(5c * 0.2 + x * 0.2) + -6 = 0.9(3x + 20)
(1c + 0.2x) + -6 = 0.9(3x + 20)

Reorder the terms:
-6 + 1c + 0.2x = 0.9(3x + 20)

Reorder the terms:
-6 + 1c + 0.2x = 0.9(20 + 3x)
-6 + 1c + 0.2x = (20 * 0.9 + 3x * 0.9)
-6 + 1c + 0.2x = (18 + 2.7x)

Solving
-6 + 1c + 0.2x = 18 + 2.7x

Solving for variable 'c'.

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

Add '6' to each side of the equation.
-6 + 1c + 6 + 0.2x = 18 + 6 + 2.7x

Reorder the terms:
-6 + 6 + 1c + 0.2x = 18 + 6 + 2.7x

Combine like terms: -6 + 6 = 0
0 + 1c + 0.2x = 18 + 6 + 2.7x
1c + 0.2x = 18 + 6 + 2.7x

Combine like terms: 18 + 6 = 24
1c + 0.2x = 24 + 2.7x

Add '-0.2x' to each side of the equation.
1c + 0.2x + -0.2x = 24 + 2.7x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1c + 0.0 = 24 + 2.7x + -0.2x
1c = 24 + 2.7x + -0.2x

Combine like terms: 2.7x + -0.2x = 2.5x
1c = 24 + 2.5x

Divide each side by '1'.
c = 24 + 2.5x

Simplifying
c = 24 + 2.5x

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