2c+6=1-3c

Solution for 2c+6=1-3c equation:

Simplifying
2c + 6 = 1 + -3c

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

Solving
6 + 2c = 1 + -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 + 2c + 3c = 1 + -3c + 3c

Combine like terms: 2c + 3c = 5c
6 + 5c = 1 + -3c + 3c

Combine like terms: -3c + 3c = 0
6 + 5c = 1 + 0
6 + 5c = 1

Add '-6' to each side of the equation.
6 + -6 + 5c = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 5c = 1 + -6
5c = 1 + -6

Combine like terms: 1 + -6 = -5
5c = -5

Divide each side by '5'.
c = -1

Simplifying
c = -1