46-(3c+4)=2(c+6)+c

Solution for 46-(3c+4)=2(c+6)+c equation:

Simplifying
46 + -1(3c + 4) = 2(c + 6) + c

Reorder the terms:
46 + -1(4 + 3c) = 2(c + 6) + c
46 + (4 * -1 + 3c * -1) = 2(c + 6) + c
46 + (-4 + -3c) = 2(c + 6) + c

Combine like terms: 46 + -4 = 42
42 + -3c = 2(c + 6) + c

Reorder the terms:
42 + -3c = 2(6 + c) + c
42 + -3c = (6 * 2 + c * 2) + c
42 + -3c = (12 + 2c) + c

Combine like terms: 2c + c = 3c
42 + -3c = 12 + 3c

Solving
42 + -3c = 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.
42 + -3c + -3c = 12 + 3c + -3c

Combine like terms: -3c + -3c = -6c
42 + -6c = 12 + 3c + -3c

Combine like terms: 3c + -3c = 0
42 + -6c = 12 + 0
42 + -6c = 12

Add '-42' to each side of the equation.
42 + -42 + -6c = 12 + -42

Combine like terms: 42 + -42 = 0
0 + -6c = 12 + -42
-6c = 12 + -42

Combine like terms: 12 + -42 = -30
-6c = -30

Divide each side by '-6'.
c = 5

Simplifying
c = 5