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

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

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

Reorder the terms:
46 + -3(4 + c) = 2(c + 6) + c
46 + (4 * -3 + c * -3) = 2(c + 6) + c
46 + (-12 + -3c) = 2(c + 6) + c

Combine like terms: 46 + -12 = 34
34 + -3c = 2(c + 6) + c

Reorder the terms:
34 + -3c = 2(6 + c) + c
34 + -3c = (6 * 2 + c * 2) + c
34 + -3c = (12 + 2c) + c

Combine like terms: 2c + c = 3c
34 + -3c = 12 + 3c

Solving
34 + -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.
34 + -3c + -3c = 12 + 3c + -3c

Combine like terms: -3c + -3c = -6c
34 + -6c = 12 + 3c + -3c

Combine like terms: 3c + -3c = 0
34 + -6c = 12 + 0
34 + -6c = 12

Add '-34' to each side of the equation.
34 + -34 + -6c = 12 + -34

Combine like terms: 34 + -34 = 0
0 + -6c = 12 + -34
-6c = 12 + -34

Combine like terms: 12 + -34 = -22
-6c = -22

Divide each side by '-6'.
c = 3.666666667

Simplifying
c = 3.666666667