3c+4c-12=6+c

Solution for 3c+4c-12=6+c equation:

Simplifying
3c + 4c + -12 = 6 + c

Reorder the terms:
-12 + 3c + 4c = 6 + c

Combine like terms: 3c + 4c = 7c
-12 + 7c = 6 + c

Solving
-12 + 7c = 6 + 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.
-12 + 7c + -1c = 6 + c + -1c

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

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

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

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

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

Divide each side by '6'.
c = 3

Simplifying
c = 3