0.2c-0.6+.5c=5

Solution for 0.2c-0.6+.5c=5 equation:

Simplifying
0.2c + -0.6 + 0.5c = 5

Reorder the terms:
-0.6 + 0.2c + 0.5c = 5

Combine like terms: 0.2c + 0.5c = 0.7c
-0.6 + 0.7c = 5

Solving
-0.6 + 0.7c = 5

Solving for variable 'c'.

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

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.7c = 5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.7c = 5 + 0.6
0.7c = 5 + 0.6

Combine like terms: 5 + 0.6 = 5.6
0.7c = 5.6

Divide each side by '0.7'.
c = 8

Simplifying
c = 8