2(c+3)=5(c-1)-7c

Solution for 2(c+3)=5(c-1)-7c equation:

Simplifying
2(c + 3) = 5(c + -1) + -7c

Reorder the terms:
2(3 + c) = 5(c + -1) + -7c
(3 * 2 + c * 2) = 5(c + -1) + -7c
(6 + 2c) = 5(c + -1) + -7c

Reorder the terms:
6 + 2c = 5(-1 + c) + -7c
6 + 2c = (-1 * 5 + c * 5) + -7c
6 + 2c = (-5 + 5c) + -7c

Combine like terms: 5c + -7c = -2c
6 + 2c = -5 + -2c

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

Combine like terms: 2c + 2c = 4c
6 + 4c = -5 + -2c + 2c

Combine like terms: -2c + 2c = 0
6 + 4c = -5 + 0
6 + 4c = -5

Add '-6' to each side of the equation.
6 + -6 + 4c = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 4c = -5 + -6
4c = -5 + -6

Combine like terms: -5 + -6 = -11
4c = -11

Divide each side by '4'.
c = -2.75

Simplifying
c = -2.75