12c-42+9c=16c+3

Solution for 12c-42+9c=16c+3 equation:

Simplifying
12c + -42 + 9c = 16c + 3

Reorder the terms:
-42 + 12c + 9c = 16c + 3

Combine like terms: 12c + 9c = 21c
-42 + 21c = 16c + 3

Reorder the terms:
-42 + 21c = 3 + 16c

Solving
-42 + 21c = 3 + 16c

Solving for variable 'c'.

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

Add '-16c' to each side of the equation.
-42 + 21c + -16c = 3 + 16c + -16c

Combine like terms: 21c + -16c = 5c
-42 + 5c = 3 + 16c + -16c

Combine like terms: 16c + -16c = 0
-42 + 5c = 3 + 0
-42 + 5c = 3

Add '42' to each side of the equation.
-42 + 42 + 5c = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 5c = 3 + 42
5c = 3 + 42

Combine like terms: 3 + 42 = 45
5c = 45

Divide each side by '5'.
c = 9

Simplifying
c = 9