0.2(6c-48)=-0.6(c-2)

Solution for 0.2(6c-48)=-0.6(c-2) equation:

Simplifying
0.2(6c + -48) = -0.6(c + -2)

Reorder the terms:
0.2(-48 + 6c) = -0.6(c + -2)
(-48 * 0.2 + 6c * 0.2) = -0.6(c + -2)
(-9.6 + 1.2c) = -0.6(c + -2)

Reorder the terms:
-9.6 + 1.2c = -0.6(-2 + c)
-9.6 + 1.2c = (-2 * -0.6 + c * -0.6)
-9.6 + 1.2c = (1.2 + -0.6c)

Solving
-9.6 + 1.2c = 1.2 + -0.6c

Solving for variable 'c'.

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

Add '0.6c' to each side of the equation.
-9.6 + 1.2c + 0.6c = 1.2 + -0.6c + 0.6c

Combine like terms: 1.2c + 0.6c = 1.8c
-9.6 + 1.8c = 1.2 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-9.6 + 1.8c = 1.2 + 0.0
-9.6 + 1.8c = 1.2

Add '9.6' to each side of the equation.
-9.6 + 9.6 + 1.8c = 1.2 + 9.6

Combine like terms: -9.6 + 9.6 = 0.0
0.0 + 1.8c = 1.2 + 9.6
1.8c = 1.2 + 9.6

Combine like terms: 1.2 + 9.6 = 10.8
1.8c = 10.8

Divide each side by '1.8'.
c = 6

Simplifying
c = 6