30-(2c+4)=2(c+3)+c

Solution for 30-(2c+4)=2(c+3)+c equation:

Simplifying
30 + -1(2c + 4) = 2(c + 3) + c

Reorder the terms:
30 + -1(4 + 2c) = 2(c + 3) + c
30 + (4 * -1 + 2c * -1) = 2(c + 3) + c
30 + (-4 + -2c) = 2(c + 3) + c

Combine like terms: 30 + -4 = 26
26 + -2c = 2(c + 3) + c

Reorder the terms:
26 + -2c = 2(3 + c) + c
26 + -2c = (3 * 2 + c * 2) + c
26 + -2c = (6 + 2c) + c

Combine like terms: 2c + c = 3c
26 + -2c = 6 + 3c

Solving
26 + -2c = 6 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
26 + -2c + -3c = 6 + 3c + -3c

Combine like terms: -2c + -3c = -5c
26 + -5c = 6 + 3c + -3c

Combine like terms: 3c + -3c = 0
26 + -5c = 6 + 0
26 + -5c = 6

Add '-26' to each side of the equation.
26 + -26 + -5c = 6 + -26

Combine like terms: 26 + -26 = 0
0 + -5c = 6 + -26
-5c = 6 + -26

Combine like terms: 6 + -26 = -20
-5c = -20

Divide each side by '-5'.
c = 4

Simplifying
c = 4