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

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

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

Reorder the terms:
3(-1 + 5c) + -3 = 12c + 3
(-1 * 3 + 5c * 3) + -3 = 12c + 3
(-3 + 15c) + -3 = 12c + 3

Reorder the terms:
-3 + -3 + 15c = 12c + 3

Combine like terms: -3 + -3 = -6
-6 + 15c = 12c + 3

Reorder the terms:
-6 + 15c = 3 + 12c

Solving
-6 + 15c = 3 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
-6 + 15c + -12c = 3 + 12c + -12c

Combine like terms: 15c + -12c = 3c
-6 + 3c = 3 + 12c + -12c

Combine like terms: 12c + -12c = 0
-6 + 3c = 3 + 0
-6 + 3c = 3

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

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

Combine like terms: 3 + 6 = 9
3c = 9

Divide each side by '3'.
c = 3

Simplifying
c = 3