8c+2(3+c)=46

Solution for 8c+2(3+c)=46 equation:

Simplifying
8c + 2(3 + c) = 46
8c + (3 * 2 + c * 2) = 46
8c + (6 + 2c) = 46

Reorder the terms:
6 + 8c + 2c = 46

Combine like terms: 8c + 2c = 10c
6 + 10c = 46

Solving
6 + 10c = 46

Solving for variable 'c'.

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

Add '-6' to each side of the equation.
6 + -6 + 10c = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 10c = 46 + -6
10c = 46 + -6

Combine like terms: 46 + -6 = 40
10c = 40

Divide each side by '10'.
c = 4

Simplifying
c = 4