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

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

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

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

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

Combine like terms: -6 + -6 = -12
-5 + 5c = -12 + -2c

Solving
-5 + 5c = -12 + -2c

Solving for variable 'c'.

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

Add '2c' to each side of the equation.
-5 + 5c + 2c = -12 + -2c + 2c

Combine like terms: 5c + 2c = 7c
-5 + 7c = -12 + -2c + 2c

Combine like terms: -2c + 2c = 0
-5 + 7c = -12 + 0
-5 + 7c = -12

Add '5' to each side of the equation.
-5 + 5 + 7c = -12 + 5

Combine like terms: -5 + 5 = 0
0 + 7c = -12 + 5
7c = -12 + 5

Combine like terms: -12 + 5 = -7
7c = -7

Divide each side by '7'.
c = -1

Simplifying
c = -1