2c+2(2c+3)=30

Solution for 2c+2(2c+3)=30 equation:

Simplifying
2c + 2(2c + 3) = 30

Reorder the terms:
2c + 2(3 + 2c) = 30
2c + (3 * 2 + 2c * 2) = 30
2c + (6 + 4c) = 30

Reorder the terms:
6 + 2c + 4c = 30

Combine like terms: 2c + 4c = 6c
6 + 6c = 30

Solving
6 + 6c = 30

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + 6c = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 6c = 30 + -6
6c = 30 + -6

Combine like terms: 30 + -6 = 24
6c = 24

Divide each side by '6'.
c = 4

Simplifying
c = 4