2(c+3)-2c=2+(1-3c)

Solution for 2(c+3)-2c=2+(1-3c) equation:

Simplifying
2(c + 3) + -2c = 2 + (1 + -3c)

Reorder the terms:
2(3 + c) + -2c = 2 + (1 + -3c)
(3 * 2 + c * 2) + -2c = 2 + (1 + -3c)
(6 + 2c) + -2c = 2 + (1 + -3c)

Combine like terms: 2c + -2c = 0
6 + 0 = 2 + (1 + -3c)
6 = 2 + (1 + -3c)

Remove parenthesis around (1 + -3c)
6 = 2 + 1 + -3c

Combine like terms: 2 + 1 = 3
6 = 3 + -3c

Solving
6 = 3 + -3c

Solving for variable 'c'.

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

Add '3c' to each side of the equation.
6 + 3c = 3 + -3c + 3c

Combine like terms: -3c + 3c = 0
6 + 3c = 3 + 0
6 + 3c = 3

Add '-6' to each side of the equation.
6 + -6 + 3c = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 3c = 3 + -6
3c = 3 + -6

Combine like terms: 3 + -6 = -3
3c = -3

Divide each side by '3'.
c = -1

Simplifying
c = -1