2(c+3)+5c=c-12

Solution for 2(c+3)+5c=c-12 equation:

Simplifying
2(c + 3) + 5c = c + -12

Reorder the terms:
2(3 + c) + 5c = c + -12
(3 * 2 + c * 2) + 5c = c + -12
(6 + 2c) + 5c = c + -12

Combine like terms: 2c + 5c = 7c
6 + 7c = c + -12

Reorder the terms:
6 + 7c = -12 + c

Solving
6 + 7c = -12 + c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
6 + 7c + -1c = -12 + c + -1c

Combine like terms: 7c + -1c = 6c
6 + 6c = -12 + c + -1c

Combine like terms: c + -1c = 0
6 + 6c = -12 + 0
6 + 6c = -12

Add '-6' to each side of the equation.
6 + -6 + 6c = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 6c = -12 + -6
6c = -12 + -6

Combine like terms: -12 + -6 = -18
6c = -18

Divide each side by '6'.
c = -3

Simplifying
c = -3