(c+3)-2c-(1-3c)=32

Solution for (c+3)-2c-(1-3c)=32 equation:

Simplifying
(c + 3) + -2c + -1(1 + -3c) = 32

Reorder the terms:
(3 + c) + -2c + -1(1 + -3c) = 32

Remove parenthesis around (3 + c)
3 + c + -2c + -1(1 + -3c) = 32
3 + c + -2c + (1 * -1 + -3c * -1) = 32
3 + c + -2c + (-1 + 3c) = 32

Reorder the terms:
3 + -1 + c + -2c + 3c = 32

Combine like terms: 3 + -1 = 2
2 + c + -2c + 3c = 32

Combine like terms: c + -2c = -1c
2 + -1c + 3c = 32

Combine like terms: -1c + 3c = 2c
2 + 2c = 32

Solving
2 + 2c = 32

Solving for variable 'c'.

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

Add '-2' to each side of the equation.
2 + -2 + 2c = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 2c = 32 + -2
2c = 32 + -2

Combine like terms: 32 + -2 = 30
2c = 30

Divide each side by '2'.
c = 15

Simplifying
c = 15