0.03(6c-56)=0.6(c-5)

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Solution for 0.03(6c-56)=0.6(c-5) equation: 


Simplifying
0.03(6c + -56) = 0.6(c + -5)

Reorder the terms:
0.03(-56 + 6c) = 0.6(c + -5)
(-56 * 0.03 + 6c * 0.03) = 0.6(c + -5)
(-1.68 + 0.18c) = 0.6(c + -5)

Reorder the terms:
-1.68 + 0.18c = 0.6(-5 + c)
-1.68 + 0.18c = (-5 * 0.6 + c * 0.6)
-1.68 + 0.18c = (-3 + 0.6c)

Solving
-1.68 + 0.18c = -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.
-1.68 + 0.18c + -0.6c = -3 + 0.6c + -0.6c

Combine like terms: 0.18c + -0.6c = -0.42c
-1.68 + -0.42c = -3 + 0.6c + -0.6c

Combine like terms: 0.6c + -0.6c = 0.0
-1.68 + -0.42c = -3 + 0.0
-1.68 + -0.42c = -3

Add '1.68' to each side of the equation.
-1.68 + 1.68 + -0.42c = -3 + 1.68

Combine like terms: -1.68 + 1.68 = 0.00
0.00 + -0.42c = -3 + 1.68
-0.42c = -3 + 1.68

Combine like terms: -3 + 1.68 = -1.32
-0.42c = -1.32

Divide each side by '-0.42'.
c = 3.142857143

Simplifying
c = 3.142857143

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