2c+6+3c=2(2c+2)

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

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

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

Combine like terms: 2c + 3c = 5c
6 + 5c = 2(2c + 2)

Reorder the terms:
6 + 5c = 2(2 + 2c)
6 + 5c = (2 * 2 + 2c * 2)
6 + 5c = (4 + 4c)

Solving
6 + 5c = 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 + 5c + -4c = 4 + 4c + -4c

Combine like terms: 5c + -4c = 1c
6 + 1c = 4 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + 1c = 4 + 0
6 + 1c = 4

Add '-6' to each side of the equation.
6 + -6 + 1c = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1c = 4 + -6
1c = 4 + -6

Combine like terms: 4 + -6 = -2
1c = -2

Divide each side by '1'.
c = -2

Simplifying
c = -2