0.4(c-9)=6(2c-12)-4c

Solution for 0.4(c-9)=6(2c-12)-4c equation:

Simplifying
0.4(c + -9) = 6(2c + -12) + -4c

Reorder the terms:
0.4(-9 + c) = 6(2c + -12) + -4c
(-9 * 0.4 + c * 0.4) = 6(2c + -12) + -4c
(-3.6 + 0.4c) = 6(2c + -12) + -4c

Reorder the terms:
-3.6 + 0.4c = 6(-12 + 2c) + -4c
-3.6 + 0.4c = (-12 * 6 + 2c * 6) + -4c
-3.6 + 0.4c = (-72 + 12c) + -4c

Combine like terms: 12c + -4c = 8c
-3.6 + 0.4c = -72 + 8c

Solving
-3.6 + 0.4c = -72 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-3.6 + 0.4c + -8c = -72 + 8c + -8c

Combine like terms: 0.4c + -8c = -7.6c
-3.6 + -7.6c = -72 + 8c + -8c

Combine like terms: 8c + -8c = 0
-3.6 + -7.6c = -72 + 0
-3.6 + -7.6c = -72

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -7.6c = -72 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -7.6c = -72 + 3.6
-7.6c = -72 + 3.6

Combine like terms: -72 + 3.6 = -68.4
-7.6c = -68.4

Divide each side by '-7.6'.
c = 9

Simplifying
c = 9