5(5c-1)-1=21c+6

Solution for 5(5c-1)-1=21c+6 equation:

Simplifying
5(5c + -1) + -1 = 21c + 6

Reorder the terms:
5(-1 + 5c) + -1 = 21c + 6
(-1 * 5 + 5c * 5) + -1 = 21c + 6
(-5 + 25c) + -1 = 21c + 6

Reorder the terms:
-5 + -1 + 25c = 21c + 6

Combine like terms: -5 + -1 = -6
-6 + 25c = 21c + 6

Reorder the terms:
-6 + 25c = 6 + 21c

Solving
-6 + 25c = 6 + 21c

Solving for variable 'c'.

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

Add '-21c' to each side of the equation.
-6 + 25c + -21c = 6 + 21c + -21c

Combine like terms: 25c + -21c = 4c
-6 + 4c = 6 + 21c + -21c

Combine like terms: 21c + -21c = 0
-6 + 4c = 6 + 0
-6 + 4c = 6

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

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

Combine like terms: 6 + 6 = 12
4c = 12

Divide each side by '4'.
c = 3

Simplifying
c = 3