3c-4(3c-3)-3(2c+2)=4c-3

Solution for 3c-4(3c-3)-3(2c+2)=4c-3 equation:

Simplifying
3c + -4(3c + -3) + -3(2c + 2) = 4c + -3

Reorder the terms:
3c + -4(-3 + 3c) + -3(2c + 2) = 4c + -3
3c + (-3 * -4 + 3c * -4) + -3(2c + 2) = 4c + -3
3c + (12 + -12c) + -3(2c + 2) = 4c + -3

Reorder the terms:
3c + 12 + -12c + -3(2 + 2c) = 4c + -3
3c + 12 + -12c + (2 * -3 + 2c * -3) = 4c + -3
3c + 12 + -12c + (-6 + -6c) = 4c + -3

Reorder the terms:
12 + -6 + 3c + -12c + -6c = 4c + -3

Combine like terms: 12 + -6 = 6
6 + 3c + -12c + -6c = 4c + -3

Combine like terms: 3c + -12c = -9c
6 + -9c + -6c = 4c + -3

Combine like terms: -9c + -6c = -15c
6 + -15c = 4c + -3

Reorder the terms:
6 + -15c = -3 + 4c

Solving
6 + -15c = -3 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
6 + -15c + -4c = -3 + 4c + -4c

Combine like terms: -15c + -4c = -19c
6 + -19c = -3 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + -19c = -3 + 0
6 + -19c = -3

Add '-6' to each side of the equation.
6 + -6 + -19c = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -19c = -3 + -6
-19c = -3 + -6

Combine like terms: -3 + -6 = -9
-19c = -9

Divide each side by '-19'.
c = 0.4736842105

Simplifying
c = 0.4736842105