5(2c-1)-1=8c+6

Solution for 5(2c-1)-1=8c+6 equation:

Simplifying
5(2c + -1) + -1 = 8c + 6

Reorder the terms:
5(-1 + 2c) + -1 = 8c + 6
(-1 * 5 + 2c * 5) + -1 = 8c + 6
(-5 + 10c) + -1 = 8c + 6

Reorder the terms:
-5 + -1 + 10c = 8c + 6

Combine like terms: -5 + -1 = -6
-6 + 10c = 8c + 6

Reorder the terms:
-6 + 10c = 6 + 8c

Solving
-6 + 10c = 6 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-6 + 10c + -8c = 6 + 8c + -8c

Combine like terms: 10c + -8c = 2c
-6 + 2c = 6 + 8c + -8c

Combine like terms: 8c + -8c = 0
-6 + 2c = 6 + 0
-6 + 2c = 6

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

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

Combine like terms: 6 + 6 = 12
2c = 12

Divide each side by '2'.
c = 6

Simplifying
c = 6