3(5c-2)-3(6c+3)=30

Solution for 3(5c-2)-3(6c+3)=30 equation:

Simplifying
3(5c + -2) + -3(6c + 3) = 30

Reorder the terms:
3(-2 + 5c) + -3(6c + 3) = 30
(-2 * 3 + 5c * 3) + -3(6c + 3) = 30
(-6 + 15c) + -3(6c + 3) = 30

Reorder the terms:
-6 + 15c + -3(3 + 6c) = 30
-6 + 15c + (3 * -3 + 6c * -3) = 30
-6 + 15c + (-9 + -18c) = 30

Reorder the terms:
-6 + -9 + 15c + -18c = 30

Combine like terms: -6 + -9 = -15
-15 + 15c + -18c = 30

Combine like terms: 15c + -18c = -3c
-15 + -3c = 30

Solving
-15 + -3c = 30

Solving for variable 'c'.

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

Add '15' to each side of the equation.
-15 + 15 + -3c = 30 + 15

Combine like terms: -15 + 15 = 0
0 + -3c = 30 + 15
-3c = 30 + 15

Combine like terms: 30 + 15 = 45
-3c = 45

Divide each side by '-3'.
c = -15

Simplifying
c = -15