33c-6=6(5c+7)

Solution for 33c-6=6(5c+7) equation:

Simplifying
33c + -6 = 6(5c + 7)

Reorder the terms:
-6 + 33c = 6(5c + 7)

Reorder the terms:
-6 + 33c = 6(7 + 5c)
-6 + 33c = (7 * 6 + 5c * 6)
-6 + 33c = (42 + 30c)

Solving
-6 + 33c = 42 + 30c

Solving for variable 'c'.

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

Add '-30c' to each side of the equation.
-6 + 33c + -30c = 42 + 30c + -30c

Combine like terms: 33c + -30c = 3c
-6 + 3c = 42 + 30c + -30c

Combine like terms: 30c + -30c = 0
-6 + 3c = 42 + 0
-6 + 3c = 42

Add '6' to each side of the equation.
-6 + 6 + 3c = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 3c = 42 + 6
3c = 42 + 6

Combine like terms: 42 + 6 = 48
3c = 48

Divide each side by '3'.
c = 16

Simplifying
c = 16