5(4c-1)-1=17c+6

Solution for 5(4c-1)-1=17c+6 equation:

Simplifying
5(4c + -1) + -1 = 17c + 6

Reorder the terms:
5(-1 + 4c) + -1 = 17c + 6
(-1 * 5 + 4c * 5) + -1 = 17c + 6
(-5 + 20c) + -1 = 17c + 6

Reorder the terms:
-5 + -1 + 20c = 17c + 6

Combine like terms: -5 + -1 = -6
-6 + 20c = 17c + 6

Reorder the terms:
-6 + 20c = 6 + 17c

Solving
-6 + 20c = 6 + 17c

Solving for variable 'c'.

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

Add '-17c' to each side of the equation.
-6 + 20c + -17c = 6 + 17c + -17c

Combine like terms: 20c + -17c = 3c
-6 + 3c = 6 + 17c + -17c

Combine like terms: 17c + -17c = 0
-6 + 3c = 6 + 0
-6 + 3c = 6

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

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

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

Divide each side by '3'.
c = 4

Simplifying
c = 4