0.03(4c-48)=-0.6(c-6)

Solution for 0.03(4c-48)=-0.6(c-6) equation:

Simplifying
0.03(4c + -48) = -0.6(c + -6)

Reorder the terms:
0.03(-48 + 4c) = -0.6(c + -6)
(-48 * 0.03 + 4c * 0.03) = -0.6(c + -6)
(-1.44 + 0.12c) = -0.6(c + -6)

Reorder the terms:
-1.44 + 0.12c = -0.6(-6 + c)
-1.44 + 0.12c = (-6 * -0.6 + c * -0.6)
-1.44 + 0.12c = (3.6 + -0.6c)

Solving
-1.44 + 0.12c = 3.6 + -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.
-1.44 + 0.12c + 0.6c = 3.6 + -0.6c + 0.6c

Combine like terms: 0.12c + 0.6c = 0.72c
-1.44 + 0.72c = 3.6 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-1.44 + 0.72c = 3.6 + 0.0
-1.44 + 0.72c = 3.6

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.72c = 3.6 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.72c = 3.6 + 1.44
0.72c = 3.6 + 1.44

Combine like terms: 3.6 + 1.44 = 5.04
0.72c = 5.04

Divide each side by '0.72'.
c = 7

Simplifying
c = 7