2c+6=4c-8

Solution for 2c+6=4c-8 equation:

Simplifying
2c + 6 = 4c + -8

Reorder the terms:
6 + 2c = 4c + -8

Reorder the terms:
6 + 2c = -8 + 4c

Solving
6 + 2c = -8 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
6 + 2c + -4c = -8 + 4c + -4c

Combine like terms: 2c + -4c = -2c
6 + -2c = -8 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + -2c = -8 + 0
6 + -2c = -8

Add '-6' to each side of the equation.
6 + -6 + -2c = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2c = -8 + -6
-2c = -8 + -6

Combine like terms: -8 + -6 = -14
-2c = -14

Divide each side by '-2'.
c = 7

Simplifying
c = 7