49-(2c+4)=4(c+6)+c

Solution for 49-(2c+4)=4(c+6)+c equation:

Simplifying
49 + -1(2c + 4) = 4(c + 6) + c

Reorder the terms:
49 + -1(4 + 2c) = 4(c + 6) + c
49 + (4 * -1 + 2c * -1) = 4(c + 6) + c
49 + (-4 + -2c) = 4(c + 6) + c

Combine like terms: 49 + -4 = 45
45 + -2c = 4(c + 6) + c

Reorder the terms:
45 + -2c = 4(6 + c) + c
45 + -2c = (6 * 4 + c * 4) + c
45 + -2c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
45 + -2c = 24 + 5c

Solving
45 + -2c = 24 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
45 + -2c + -5c = 24 + 5c + -5c

Combine like terms: -2c + -5c = -7c
45 + -7c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
45 + -7c = 24 + 0
45 + -7c = 24

Add '-45' to each side of the equation.
45 + -45 + -7c = 24 + -45

Combine like terms: 45 + -45 = 0
0 + -7c = 24 + -45
-7c = 24 + -45

Combine like terms: 24 + -45 = -21
-7c = -21

Divide each side by '-7'.
c = 3

Simplifying
c = 3