2(1-8c)=5-3(6c+1)-6

Solution for 2(1-8c)=5-3(6c+1)-6 equation:

Simplifying
2(1 + -8c) = 5 + -3(6c + 1) + -6
(1 * 2 + -8c * 2) = 5 + -3(6c + 1) + -6
(2 + -16c) = 5 + -3(6c + 1) + -6

Reorder the terms:
2 + -16c = 5 + -3(1 + 6c) + -6
2 + -16c = 5 + (1 * -3 + 6c * -3) + -6
2 + -16c = 5 + (-3 + -18c) + -6

Reorder the terms:
2 + -16c = 5 + -3 + -6 + -18c

Combine like terms: 5 + -3 = 2
2 + -16c = 2 + -6 + -18c

Combine like terms: 2 + -6 = -4
2 + -16c = -4 + -18c

Solving
2 + -16c = -4 + -18c

Solving for variable 'c'.

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

Add '18c' to each side of the equation.
2 + -16c + 18c = -4 + -18c + 18c

Combine like terms: -16c + 18c = 2c
2 + 2c = -4 + -18c + 18c

Combine like terms: -18c + 18c = 0
2 + 2c = -4 + 0
2 + 2c = -4

Add '-2' to each side of the equation.
2 + -2 + 2c = -4 + -2

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

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

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

Simplifying
c = -3