.6-3(c-2)=.1+4(5-c)

Solution for .6-3(c-2)=.1+4(5-c) equation:

Simplifying
0.6 + -3(c + -2) = 0.1 + 4(5 + -1c)

Reorder the terms:
0.6 + -3(-2 + c) = 0.1 + 4(5 + -1c)
0.6 + (-2 * -3 + c * -3) = 0.1 + 4(5 + -1c)
0.6 + (6 + -3c) = 0.1 + 4(5 + -1c)

Combine like terms: 0.6 + 6 = 6.6
6.6 + -3c = 0.1 + 4(5 + -1c)
6.6 + -3c = 0.1 + (5 * 4 + -1c * 4)
6.6 + -3c = 0.1 + (20 + -4c)

Combine like terms: 0.1 + 20 = 20.1
6.6 + -3c = 20.1 + -4c

Solving
6.6 + -3c = 20.1 + -4c

Solving for variable 'c'.

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

Add '4c' to each side of the equation.
6.6 + -3c + 4c = 20.1 + -4c + 4c

Combine like terms: -3c + 4c = 1c
6.6 + 1c = 20.1 + -4c + 4c

Combine like terms: -4c + 4c = 0
6.6 + 1c = 20.1 + 0
6.6 + 1c = 20.1

Add '-6.6' to each side of the equation.
6.6 + -6.6 + 1c = 20.1 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + 1c = 20.1 + -6.6
1c = 20.1 + -6.6

Combine like terms: 20.1 + -6.6 = 13.5
1c = 13.5

Divide each side by '1'.
c = 13.5

Simplifying
c = 13.5