-2(c-3)=-5c-6

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

Simplifying
-2(c + -3) = -5c + -6

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

Reorder the terms:
6 + -2c = -6 + -5c

Solving
6 + -2c = -6 + -5c

Solving for variable 'c'.

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

Add '5c' to each side of the equation.
6 + -2c + 5c = -6 + -5c + 5c

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

Combine like terms: -5c + 5c = 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