2(1c-3)+12=5c-2c

Solution for 2(1c-3)+12=5c-2c equation:

Simplifying
2(1c + -3) + 12 = 5c + -2c

Reorder the terms:
2(-3 + 1c) + 12 = 5c + -2c
(-3 * 2 + 1c * 2) + 12 = 5c + -2c
(-6 + 2c) + 12 = 5c + -2c

Reorder the terms:
-6 + 12 + 2c = 5c + -2c

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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + -1c = 0 + -6

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

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

Divide each side by '-1'.
c = 6

Simplifying
c = 6