6(5c-1)-14=28c+6

Solution for 6(5c-1)-14=28c+6 equation:

Simplifying
6(5c + -1) + -14 = 28c + 6

Reorder the terms:
6(-1 + 5c) + -14 = 28c + 6
(-1 * 6 + 5c * 6) + -14 = 28c + 6
(-6 + 30c) + -14 = 28c + 6

Reorder the terms:
-6 + -14 + 30c = 28c + 6

Combine like terms: -6 + -14 = -20
-20 + 30c = 28c + 6

Reorder the terms:
-20 + 30c = 6 + 28c

Solving
-20 + 30c = 6 + 28c

Solving for variable 'c'.

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

Add '-28c' to each side of the equation.
-20 + 30c + -28c = 6 + 28c + -28c

Combine like terms: 30c + -28c = 2c
-20 + 2c = 6 + 28c + -28c

Combine like terms: 28c + -28c = 0
-20 + 2c = 6 + 0
-20 + 2c = 6

Add '20' to each side of the equation.
-20 + 20 + 2c = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 2c = 6 + 20
2c = 6 + 20

Combine like terms: 6 + 20 = 26
2c = 26

Divide each side by '2'.
c = 13

Simplifying
c = 13