3*(3.2-2c)=4.6+4c

Solution for 3*(3.2-2c)=4.6+4c equation:

Simplifying
3(3.2 + -2c) = 4.6 + 4c
(3.2 * 3 + -2c * 3) = 4.6 + 4c
(9.6 + -6c) = 4.6 + 4c

Solving
9.6 + -6c = 4.6 + 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.
9.6 + -6c + -4c = 4.6 + 4c + -4c

Combine like terms: -6c + -4c = -10c
9.6 + -10c = 4.6 + 4c + -4c

Combine like terms: 4c + -4c = 0
9.6 + -10c = 4.6 + 0
9.6 + -10c = 4.6

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -10c = 4.6 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -10c = 4.6 + -9.6
-10c = 4.6 + -9.6

Combine like terms: 4.6 + -9.6 = -5
-10c = -5

Divide each side by '-10'.
c = 0.5

Simplifying
c = 0.5