.6(15c+10)=12c-9

Solution for .6(15c+10)=12c-9 equation:

Simplifying
0.6(15c + 10) = 12c + -9

Reorder the terms:
0.6(10 + 15c) = 12c + -9
(10 * 0.6 + 15c * 0.6) = 12c + -9
(6 + 9c) = 12c + -9

Reorder the terms:
6 + 9c = -9 + 12c

Solving
6 + 9c = -9 + 12c

Solving for variable 'c'.

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

Add '-12c' to each side of the equation.
6 + 9c + -12c = -9 + 12c + -12c

Combine like terms: 9c + -12c = -3c
6 + -3c = -9 + 12c + -12c

Combine like terms: 12c + -12c = 0
6 + -3c = -9 + 0
6 + -3c = -9

Add '-6' to each side of the equation.
6 + -6 + -3c = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3c = -9 + -6
-3c = -9 + -6

Combine like terms: -9 + -6 = -15
-3c = -15

Divide each side by '-3'.
c = 5

Simplifying
c = 5