2c+2=c-6+3c

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

Simplifying
2c + 2 = c + -6 + 3c

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

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

Combine like terms: c + 3c = 4c
2 + 2c = -6 + 4c

Solving
2 + 2c = -6 + 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.
2 + 2c + -4c = -6 + 4c + -4c

Combine like terms: 2c + -4c = -2c
2 + -2c = -6 + 4c + -4c

Combine like terms: 4c + -4c = 0
2 + -2c = -6 + 0
2 + -2c = -6

Add '-2' to each side of the equation.
2 + -2 + -2c = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -2c = -6 + -2
-2c = -6 + -2

Combine like terms: -6 + -2 = -8
-2c = -8

Divide each side by '-2'.
c = 4

Simplifying
c = 4