4(2c+1)-(6c-2)=

Solution for 4(2c+1)-(6c-2)= equation:

Simplifying
4(2c + 1) + -1(6c + -2) = 0

Reorder the terms:
4(1 + 2c) + -1(6c + -2) = 0
(1 * 4 + 2c * 4) + -1(6c + -2) = 0
(4 + 8c) + -1(6c + -2) = 0

Reorder the terms:
4 + 8c + -1(-2 + 6c) = 0
4 + 8c + (-2 * -1 + 6c * -1) = 0
4 + 8c + (2 + -6c) = 0

Reorder the terms:
4 + 2 + 8c + -6c = 0

Combine like terms: 4 + 2 = 6
6 + 8c + -6c = 0

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

Solving
6 + 2c = 0

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + 2c = 0 + -6

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

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

Divide each side by '2'.
c = -3

Simplifying
c = -3