.5(6-c)=c

Solution for .5(6-c)=c equation:

Simplifying
0.5(6 + -1c) = c
(6 * 0.5 + -1c * 0.5) = c
(3 + -0.5c) = c

Solving
3 + -0.5c = c

Solving for variable 'c'.

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

Add '-1c' to each side of the equation.
3 + -0.5c + -1c = c + -1c

Combine like terms: -0.5c + -1c = -1.5c
3 + -1.5c = c + -1c

Combine like terms: c + -1c = 0
3 + -1.5c = 0

Add '-3' to each side of the equation.
3 + -3 + -1.5c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.5c = 0 + -3
-1.5c = 0 + -3

Combine like terms: 0 + -3 = -3
-1.5c = -3

Divide each side by '-1.5'.
c = 2

Simplifying
c = 2