2(c+3)=4(c-1)

Solution for 2(c+3)=4(c-1) equation:

Simplifying
2(c + 3) = 4(c + -1)

Reorder the terms:
2(3 + c) = 4(c + -1)
(3 * 2 + c * 2) = 4(c + -1)
(6 + 2c) = 4(c + -1)

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

Solving
6 + 2c = -4 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
6 + 2c + -4c = -4 + 4c + -4c

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

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

Add '-6' to each side of the equation.
6 + -6 + -2c = -4 + -6

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

Combine like terms: -4 + -6 = -10
-2c = -10

Divide each side by '-2'.
c = 5

Simplifying
c = 5