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

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

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

Reorder the terms:
3(-1 + 3c) + -3 = 5c + 2
(-1 * 3 + 3c * 3) + -3 = 5c + 2
(-3 + 9c) + -3 = 5c + 2

Reorder the terms:
-3 + -3 + 9c = 5c + 2

Combine like terms: -3 + -3 = -6
-6 + 9c = 5c + 2

Reorder the terms:
-6 + 9c = 2 + 5c

Solving
-6 + 9c = 2 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-6 + 9c + -5c = 2 + 5c + -5c

Combine like terms: 9c + -5c = 4c
-6 + 4c = 2 + 5c + -5c

Combine like terms: 5c + -5c = 0
-6 + 4c = 2 + 0
-6 + 4c = 2

Add '6' to each side of the equation.
-6 + 6 + 4c = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4c = 2 + 6
4c = 2 + 6

Combine like terms: 2 + 6 = 8
4c = 8

Divide each side by '4'.
c = 2

Simplifying
c = 2