30=3c+2(3c-3)

Solution for 30=3c+2(3c-3) equation:

Simplifying
30 = 3c + 2(3c + -3)

Reorder the terms:
30 = 3c + 2(-3 + 3c)
30 = 3c + (-3 * 2 + 3c * 2)
30 = 3c + (-6 + 6c)

Reorder the terms:
30 = -6 + 3c + 6c

Combine like terms: 3c + 6c = 9c
30 = -6 + 9c

Solving
30 = -6 + 9c

Solving for variable 'c'.

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

Add '-9c' to each side of the equation.
30 + -9c = -6 + 9c + -9c

Combine like terms: 9c + -9c = 0
30 + -9c = -6 + 0
30 + -9c = -6

Add '-30' to each side of the equation.
30 + -30 + -9c = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -9c = -6 + -30
-9c = -6 + -30

Combine like terms: -6 + -30 = -36
-9c = -36

Divide each side by '-9'.
c = 4

Simplifying
c = 4