28-(2c-4)=2(c+7)+c

Solution for 28-(2c-4)=2(c+7)+c equation:

Simplifying
28 + -1(2c + -4) = 2(c + 7) + c

Reorder the terms:
28 + -1(-4 + 2c) = 2(c + 7) + c
28 + (-4 * -1 + 2c * -1) = 2(c + 7) + c
28 + (4 + -2c) = 2(c + 7) + c

Combine like terms: 28 + 4 = 32
32 + -2c = 2(c + 7) + c

Reorder the terms:
32 + -2c = 2(7 + c) + c
32 + -2c = (7 * 2 + c * 2) + c
32 + -2c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
32 + -2c = 14 + 3c

Solving
32 + -2c = 14 + 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.
32 + -2c + -3c = 14 + 3c + -3c

Combine like terms: -2c + -3c = -5c
32 + -5c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
32 + -5c = 14 + 0
32 + -5c = 14

Add '-32' to each side of the equation.
32 + -32 + -5c = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -5c = 14 + -32
-5c = 14 + -32

Combine like terms: 14 + -32 = -18
-5c = -18

Divide each side by '-5'.
c = 3.6

Simplifying
c = 3.6