2(c+4.6)=6c-5.6

Solution for 2(c+4.6)=6c-5.6 equation:

Simplifying
2(c + 4.6) = 6c + -5.6

Reorder the terms:
2(4.6 + c) = 6c + -5.6
(4.6 * 2 + c * 2) = 6c + -5.6
(9.2 + 2c) = 6c + -5.6

Reorder the terms:
9.2 + 2c = -5.6 + 6c

Solving
9.2 + 2c = -5.6 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
9.2 + 2c + -6c = -5.6 + 6c + -6c

Combine like terms: 2c + -6c = -4c
9.2 + -4c = -5.6 + 6c + -6c

Combine like terms: 6c + -6c = 0
9.2 + -4c = -5.6 + 0
9.2 + -4c = -5.6

Add '-9.2' to each side of the equation.
9.2 + -9.2 + -4c = -5.6 + -9.2

Combine like terms: 9.2 + -9.2 = 0.0
0.0 + -4c = -5.6 + -9.2
-4c = -5.6 + -9.2

Combine like terms: -5.6 + -9.2 = -14.8
-4c = -14.8

Divide each side by '-4'.
c = 3.7

Simplifying
c = 3.7