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

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

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

Solving
9.6 + -6c = 4.6 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
9.6 + -6c + -2c = 4.6 + 2c + -2c

Combine like terms: -6c + -2c = -8c
9.6 + -8c = 4.6 + 2c + -2c

Combine like terms: 2c + -2c = 0
9.6 + -8c = 4.6 + 0
9.6 + -8c = 4.6

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -8c = 4.6 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -8c = 4.6 + -9.6
-8c = 4.6 + -9.6

Combine like terms: 4.6 + -9.6 = -5
-8c = -5

Divide each side by '-8'.
c = 0.625

Simplifying
c = 0.625