7.6-2(.6c-6)=.6(1-.3c)

Solution for 7.6-2(.6c-6)=.6(1-.3c) equation:

Simplifying
7.6 + -2(0.6c + -6) = 0.6(1 + -0.3c)

Reorder the terms:
7.6 + -2(-6 + 0.6c) = 0.6(1 + -0.3c)
7.6 + (-6 * -2 + 0.6c * -2) = 0.6(1 + -0.3c)
7.6 + (12 + -1.2c) = 0.6(1 + -0.3c)

Combine like terms: 7.6 + 12 = 19.6
19.6 + -1.2c = 0.6(1 + -0.3c)
19.6 + -1.2c = (1 * 0.6 + -0.3c * 0.6)
19.6 + -1.2c = (0.6 + -0.18c)

Solving
19.6 + -1.2c = 0.6 + -0.18c

Solving for variable 'c'.

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

Add '0.18c' to each side of the equation.
19.6 + -1.2c + 0.18c = 0.6 + -0.18c + 0.18c

Combine like terms: -1.2c + 0.18c = -1.02c
19.6 + -1.02c = 0.6 + -0.18c + 0.18c

Combine like terms: -0.18c + 0.18c = 0.00
19.6 + -1.02c = 0.6 + 0.00
19.6 + -1.02c = 0.6

Add '-19.6' to each side of the equation.
19.6 + -19.6 + -1.02c = 0.6 + -19.6

Combine like terms: 19.6 + -19.6 = 0.0
0.0 + -1.02c = 0.6 + -19.6
-1.02c = 0.6 + -19.6

Combine like terms: 0.6 + -19.6 = -19
-1.02c = -19

Divide each side by '-1.02'.
c = 18.62745098

Simplifying
c = 18.62745098