31(2c+4)=2(c+6)+c

Solution for 31(2c+4)=2(c+6)+c equation:

Simplifying
31(2c + 4) = 2(c + 6) + c

Reorder the terms:
31(4 + 2c) = 2(c + 6) + c
(4 * 31 + 2c * 31) = 2(c + 6) + c
(124 + 62c) = 2(c + 6) + c

Reorder the terms:
124 + 62c = 2(6 + c) + c
124 + 62c = (6 * 2 + c * 2) + c
124 + 62c = (12 + 2c) + c

Combine like terms: 2c + c = 3c
124 + 62c = 12 + 3c

Solving
124 + 62c = 12 + 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.
124 + 62c + -3c = 12 + 3c + -3c

Combine like terms: 62c + -3c = 59c
124 + 59c = 12 + 3c + -3c

Combine like terms: 3c + -3c = 0
124 + 59c = 12 + 0
124 + 59c = 12

Add '-124' to each side of the equation.
124 + -124 + 59c = 12 + -124

Combine like terms: 124 + -124 = 0
0 + 59c = 12 + -124
59c = 12 + -124

Combine like terms: 12 + -124 = -112
59c = -112

Divide each side by '59'.
c = -1.898305085

Simplifying
c = -1.898305085